Excel's _____ function can be used to compute the expected value of a discrete random variable.
Exhibit 5-8
The student body of a large university consists of 60% female students. A random sample of 8 students is selected.
What is the probability that among the students in the sample at least 7 are female?
The student body of a large university consists of 60% female students. A random sample of 8 students is selected.
What is the probability that among the students in the sample at least 7 are female?
Exhibit 5-11
The random variable x is the number of occurrences of an event over an interval of 10 minutes. It can be assumed the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in 10 minutes is 5.3.
The appropriate probability distribution for the random variable is _____.
The random variable x is the number of occurrences of an event over an interval of 10 minutes. It can be assumed the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in 10 minutes is 5.3.
The appropriate probability distribution for the random variable is _____.
In the textile industry, a manufacturer is interested in the number of blemishes or flaws occurring in each 100 feet of material. The probability distribution that has the greatest chance of applying to this situation is the _____.
A production process produces 3% defective parts. A sample of ten parts from the production process is selected. What is the probability that the sample contains exactly three defective parts?
AMR is a computer-consulting firm. The number of new clients that it has obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below.
The standard deviation is _____.
| Number of | |
| New Clients | Probability |
| 0 | .05 |
| 1 | .10 |
| 2 | .15 |
| 3 | .35 |
| 4 | .20 |
| 5 | .10 |
| 6 | .05 |
The standard deviation is _____.
Experimental outcomes that are based on measurement scales such as time, weight, and distance can be described by _____ random variables.
Which of the following is a required condition for a discrete probability function?
The expected value of a random variable is the _____.
A numerical description of the outcome of an experiment is called a _____.
Excel's HYPGEOM.DIST function has how many inputs?
A marketing manager instructs his team to make 80 telephone calls to attempt to sell an insurance policy. The random variable in this experiment is the number of sales made. This random variable is a _____.
Which of the following properties of a binomial experiment is called the stationarity assumption?
The standard deviation is the _____.
The probability Pete will catch fish when he goes fishing is .8. Pete is going fishing 3 days next week.
The expected number of days Pete will catch fish is _____.
The expected number of days Pete will catch fish is _____.
The random variable x is the number of occurrences of an event over an interval of 10 minutes. It can be assumed the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in 10 minutes is 5.8.
The probability there are 8 occurrences in 10 minutes is _____.
The probability there are 8 occurrences in 10 minutes is _____.
Assume that you have a binomial experiment with p = 0.4 and a sample size of 50. The variance of this distribution is _____.
Exhibit 5-8
The student body of a large university consists of 60% female students. A random sample of 8 students is selected.
What is the probability that among the students in the sample at least 6 are male?
The student body of a large university consists of 60% female students. A random sample of 8 students is selected.
What is the probability that among the students in the sample at least 6 are male?
Exhibit 5-8
The student body of a large university consists of 60% female students. A random sample of 8 students is selected.
What is the probability that among the students in the sample exactly two are female?
The student body of a large university consists of 60% female students. A random sample of 8 students is selected.
What is the probability that among the students in the sample exactly two are female?
Exhibit 5-10
The probability Pete will catch fish when he goes fishing is .8. Pete is going fishing 3 days next week.
What is the random variable in this experiment?
The probability Pete will catch fish when he goes fishing is .8. Pete is going fishing 3 days next week.
What is the random variable in this experiment?
The variance for the binomial probability distribution is _____.
The variance is a weighted average of the _____.
The random variable x is the number of occurrences of an event over an interval of 10 minutes. It can be assumed the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in 10 minutes is 5.3.
The probability there are less than 3 occurrences is _____.
The probability there are less than 3 occurrences is _____.
The probability distribution for the number of goals the Lions soccer team makes per game is given below.
What is the probability that in a given game the Lions will score at least 1 goal?
| Number of Goals | Probability |
| 0 | 0.15 |
| 1 | 0.35 |
| 2 | 0.10 |
| 3 | 0.10 |
| 4 | 0.30 |
What is the probability that in a given game the Lions will score at least 1 goal?
local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below.
The probability of at least 3 breakdowns in a month is _____.
| Number of | |
| Breakdowns | Probability |
| 0 | .12 |
| 1 | .38 |
| 2 | .25 |
| 3 | .18 |
| 4 | .07 |
The probability of at least 3 breakdowns in a month is _____.
Which of the following is NOT a characteristic of an experiment where the binomial probability distribution is applicable?
Which of the following is NOT a required condition for a discrete probability function?
Exhibit 5-11
The random variable x is the number of occurrences of an event over an interval of 10 minutes. It can be assumed the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in 10 minutes is 5.3.
The probability there are 8 occurrences in 10 minutes is _____.
The random variable x is the number of occurrences of an event over an interval of 10 minutes. It can be assumed the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in 10 minutes is 5.3.
The probability there are 8 occurrences in 10 minutes is _____.
The probability Pete will catch fish when he goes fishing is 0.7. Pete is going fishing 4 days next week.
The probability that Pete will catch fish on 1 or fewer days is _____.
The probability that Pete will catch fish on 1 or fewer days is _____.
Which of the following is a characteristic of a binomial experiment?
The weight of an object, measured to the nearest gram, is an example of _____.
If you are conducting an experiment where the probability of a success is .02 and you are interested in the probability of two successes in 15 trials, the correct probability function to use is the _____.
Exhibit 5-11
The random variable x is the number of occurrences of an event over an interval of 10 minutes. It can be assumed the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in 10 minutes is 5.3.
The appropriate probability distribution for the random variable is _____.
The random variable x is the number of occurrences of an event over an interval of 10 minutes. It can be assumed the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in 10 minutes is 5.3.
The appropriate probability distribution for the random variable is _____.
In a binomial experiment, the probability of success is .06. What is the probability of two successes in seven trials?
Assume that you have a binomial experiment with p = 0.3 and a sample size of 100. The expected value of this distribution is _____.
When using Excel's POISSON.DIST function, one should choose TRUE for the third input if _____.
The expected value of a discrete random variable _____.
When dealing with the number of occurrences of an event over a specified interval of time or space and when the occurrence or nonoccurrence in any interval is independent of the occurrence or nonoccurrence in any other interval, the appropriate probability distribution is a _____.
AMR is a computer-consulting firm. The number of new clients that it has obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below.
The expected number of new clients per month is _____.
| Number of | |
| New Clients | Probability |
| 0 | 0.15 |
| 1 | 0.10 |
| 2 | 0.30 |
| 3 | 0.10 |
| 4 | 0.25 |
| 5 | 0.05 |
| 6 | 0.05 |
The expected number of new clients per month is _____.
To compute a binomial probability. we must know all of the following except the _____.
Exhibit 5-11
The random variable x is the number of occurrences of an event over an interval of 10 minutes. It can be assumed the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in 10 minutes is 5.3.
The expected value of the random variable x is _____.
The random variable x is the number of occurrences of an event over an interval of 10 minutes. It can be assumed the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in 10 minutes is 5.3.
The expected value of the random variable x is _____.
Variance is _____.
A production process produces 2% defective parts. A sample of five parts from the production process is selected. What is the probability that the sample contains exactly two defective parts?
Excel's EXPON.DIST function has how many inputs?
If arrivals follow a Poisson probability distribution, the time between successive arrivals must follow a(n) _____ probability distribution.
Excel's NORM.INV function can be used to compute _____.
Assume z is a standard normal random variable. Then P(1.20 ≤ z ≤ 1.85) equals _____.
Excel's NORM.S.INV function can be used to compute _____.
Consider the following.
f(x) = (1/5) e -x/5 x ≥ 0
The mean of x is _____.
f(x) = (1/5) e -x/5 x ≥ 0
The mean of x is _____.
Consider the continuous random variable x, which has a uniform distribution over the interval from 40 to 42. The probability density function has what value in the interval between 40 and 42?
For a standard normal distribution, a negative value of z indicates _____.
Assume z is a standard normal random variable. Then P(–1.96 ≤ z ≤ –1.2) equals _____.
Exhibit 6-5
The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces.
Refer to Exhibit 6-5. What is the probability that a randomly selected item weighs exactly 8 ounces?
The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces.
Refer to Exhibit 6-5. What is the probability that a randomly selected item weighs exactly 8 ounces?
The life expectancy of a particular brand of tire is normally distributed with a mean of 30,000 and a standard deviation of 4,000 miles. What is the probability that a randomly selected tire will have a life of at least 35,000 miles?
The skewness measure for exponential distributions is _____.
Assume z is a standard normal random variable. Then P(–1.4 ≤ z ≤ 1.05) equals _____.
Whenever the probability is proportional to the length of the interval in which the random variable can assume a value, the random variable follows a(n) _____ distribution.
Assume z is a standard normal random variable. Then P(z ≥ 2.22) equals _____.
The uniform probability distribution is used with _____.
Suppose x is a normally distributed random variable with a mean of 21 and a standard deviation of 5. The probability that x is less than 8.8 is _____.
Consider the continuous random variable x, which has a uniform distribution over the interval from 50 to 55. The probability density function has what value in the interval between 50 and 55?
The probability density function for a uniform distribution ranging between 2 and 6 is _____.
For a standard normal distribution, the probability of obtaining a z value between –2.6 and –2.0 is _____.
For a continuous random variable x, the probability density function f(x) represents _____.
A continuous random variable may assume _____.
The random variable x is known to be uniformly distributed between 50 and 80. The probability of x having a value between 65 and 85 is _____.
Consider the following.
f(x) = (1/3) e -x/3 x ≥ 0
The mean of x is _____.
f(x) = (1/3) e -x/3 x ≥ 0
The mean of x is _____.
For a standard normal distribution, the probability of obtaining a z value of less than 1.8 is _____.
The weight of items produced by a machine is normally distributed with a mean of 9 ounces and a standard deviation of 3 ounces. What is the probability that a randomly selected item will weigh between 14 and 16 ounces?
Consider the continuous random variable x, which has a uniform distribution over the interval from 10 to 14. The probability that x will take on a value of at least 13 is _____.
Larger values of the standard deviation result in a normal curve that is _____.
Excel's NORM.S.DIST function can be used to compute _____.
What type of function defines the probability distribution of ANY continuous random variable?
The starting salaries of individuals with an MBA degree are normally distributed with a mean of $45,000 and a standard deviation of $8,000. What percentage of MBAs will have starting salaries of $34,000 to $56,000?
The exponential probability distribution is used with _____.
Assume z is a standard normal random variable. Then P(1.41 < z < 2.85) equals _____.
Suppose x is a normally distributed random variable with a mean of 5 and a variance of 4. The probability that x is greater than 10.52 is _____.
A continuous random variable may assume _____.
Given that z is a standard normal random variable, what is the value of z if the area to the right of z is 0.0694?
The starting salaries of individuals with an MBA degree are normally distributed with a mean of $50,000 and a standard deviation of $5,000. What percentage of MBAs will have starting salaries of $42,000 to $58,000?
The assembly time for a product is uniformly distributed between 7 and 12 minutes. The probability of assembling the product in 11 minutes or more is _____.
Exhibit 6-1
Consider the continuous random variable x, which has a uniform distribution over the interval from 20 to 28.
Refer to Exhibit 6-1. The variance of x is approximately _____.
Consider the continuous random variable x, which has a uniform distribution over the interval from 20 to 28.
Refer to Exhibit 6-1. The variance of x is approximately _____.
The weight of items produced by a machine is normally distributed with a mean of 9 ounces and a standard deviation of 3 ounces. What percentage of items will weigh at least 12.15 ounces?
If the mean of a normal distribution is negative, _____.
The starting salaries of individuals with an MBA degree are normally distributed with a mean of $45,000 and a standard deviation of $8,000. What is the probability that a randomly selected individual with an MBA degree will get a starting salary of at least $59,400?
Larger values of the standard deviation result in a normal curve that is _____.
The random variable x is known to be uniformly distributed between 70 and 90. The probability of x having a value between 80 and 95 is _____.
Suppose x is a normally distributed random variable with a mean of 5 and a variance of 4. The probability that x is greater than 10.52 is _____.
The exponential probability distribution is used with _____.
The form of the continuous uniform probability distribution is _____.
An exponential probability distribution _____.
Exhibit 6-1
Consider the continuous random variable x, which has a uniform distribution over the interval from 20 to 28.
Refer to Exhibit 6-1. The probability density function has what value in the interval between 20 and 28?
Consider the continuous random variable x, which has a uniform distribution over the interval from 20 to 28.
Refer to Exhibit 6-1. The probability density function has what value in the interval between 20 and 28?
The assembly time for a product is uniformly distributed between 6 and 11 minutes. The probability density function has what value in the interval between 6 and 11?
The skewness measure for exponential distributions is _____.
Assume z is a standard normal random variable. What is the value of z if the area between –z and z is 0.8611?
Exhibit 6-7
f(x) = (1/10) e-x/10 x ≥ 0
Refer to Exhibit 6-7. The mean of x is _____.
f(x) = (1/10) e-x/10 x ≥ 0
Refer to Exhibit 6-7. The mean of x is _____.
Exhibit 6-2
The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes.
Refer to Exhibit 6-2. What is the random variable in this experiment?
The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes.
Refer to Exhibit 6-2. What is the random variable in this experiment?
The weight of football players is normally distributed with a mean of 215 pounds and a standard deviation of 20 pounds. The probability of a player weighing less than 265 pounds is _____.
The probability distribution that can be described by just one parameter is the _____ distribution.
The skewness measure for exponential distributions is _____.
Exhibit 6-2
The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes.
Refer to Exhibit 6-2. What is the random variable in this experiment?
The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes.
Refer to Exhibit 6-2. What is the random variable in this experiment?
A property of the exponential distribution is that the mean equals the _____.
The assembly time for a product is uniformly distributed between 6 and 10 minutes. The probability density function has what value in the interval between 6 and 10?
About 95.4% of the values of a normal random variable are within approximately how many standard deviations of its mean?
The ages of students at a university are normally distributed with a mean of 20. What percentage of the student body is at least 20 years old?
Excel's NORM.S.INV function can be used to compute _____.
A continuous random variable is uniformly distributed between a and b. The probability density function between a and b is _____.
Exhibit 6-5
The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces.
Refer to Exhibit 6-5. What percentage of items will weigh at least 11.7 ounces?
The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces.
Refer to Exhibit 6-5. What percentage of items will weigh at least 11.7 ounces?
The ages of students at a university are normally distributed with a mean of 19. What percentage of the student body is at least 19 years old?
The travel time for a college student traveling between her home and her college is uniformly distributed between 30 and 80 minutes. The probability that her trip will take exactly 50 minutes is _____.
If the mean of a normal distribution is negative, _____.
All of the following distributions are symmetric EXCEPT the _____ distribution.
Which of the following is NOT a characteristic of the normal probability distribution?
For a standard normal distribution, the probability of z ≤ 0 is _____.
Exhibit 6-3
The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds.
Refer to Exhibit 6-3. The probability of a player weighing more than 241.25 pounds is _____.
The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds.
Refer to Exhibit 6-3. The probability of a player weighing more than 241.25 pounds is _____.
The mean, median, and mode have the same value for which of the following probability distributions?
The assembly time for a product is uniformly distributed between 5 and 10 minutes. The probability of assembling the product in 6 to 9 minutes is _____.
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