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The number of cartoons watched on Saturday mornings by students in Mrs. Kelly's first grade class is shown below. The number of cartoons watched on Saturday mornings by students in Mrs. Kelly's first grade class is shown below. Give the standard deviation for the probability distribution. A) 1.46 B) 2.25 C) 1.89 D) 1.18 Give the standard deviation for the probability distribution.


A) 1.46
B) 2.25
C) 1.89
D) 1.18

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A coin is tossed 72 times. Find the standard deviation for the number of heads that will be tossed.


A) 36
B) 18
C) 4.24
D) 6.78

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Give the mean of the following probability distribution? Give the mean of the following probability distribution? A) 0.25 B) 1.28 C) 2.85 D) 3.50


A) 0.25
B) 1.28
C) 2.85
D) 3.50

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Give the variance of the following distribution? Give the variance of the following distribution? A) 1.83 B) 1.31 C) 1.25 D) 1.71


A) 1.83
B) 1.31
C) 1.25
D) 1.71

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In a large bag of marbles, 25% of them are red. A child chooses 4 marbles from this bag. If the child chooses the marbles at random, what is the chance that the child gets exactly three red marbles?


A) 0.047
B) 0.141
C) 0.211
D) 0.063

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Find the mean of the distribution shown below. Find the mean of the distribution shown below. A) 2.20 B) 3.16 C) 3.04 D) 3.32


A) 2.20
B) 3.16
C) 3.04
D) 3.32

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Construct the probability distribution for the number of heads obtained when tossing four coins. Draw a graph of the distribution.

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The binomial distribution equations will not give exact probabilities for experiments in which sampling is done without replacement. In those cases, the trials are not independent.

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The following distribution is not a probability distribution because The following distribution is not a probability distribution because A) values of the variable are negative. B) a probability is negative. C) the probability values do not add to 1. D) the probability values are not discrete.


A) values of the variable are negative.
B) a probability is negative.
C) the probability values do not add to 1.
D) the probability values are not discrete.

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B

Use the multinomial formula to find the probability for the situation in which n = 5, X1 = 2, X2 = 2, X3 = 1, and, p1 = 0.4, p2 = 0.4, p3 = 0.2.


A) 0.0768
B) 0.1152
C) 0.1536
D) 0.2304

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C

In a batch of 100 cell phones, there are, on average, 5 defective ones. If a random sample of 30 is selected, find the probability of 2 defective ones.


A) 0.0500
B) 0.3000
C) 0.3163
D) 0.0667

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The probability that a Poisson random variable X is equal to 4, where The probability that a Poisson random variable X is equal to 4, where = 10, is A) B) C) D) = 10, is


A) The probability that a Poisson random variable X is equal to 4, where = 10, is A) B) C) D)
B) The probability that a Poisson random variable X is equal to 4, where = 10, is A) B) C) D)
C) The probability that a Poisson random variable X is equal to 4, where = 10, is A) B) C) D)
D) The probability that a Poisson random variable X is equal to 4, where = 10, is A) B) C) D)

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A die is rolled 360 times. Find the standard deviation of the number of times a 3 will be rolled.


A) 21.3
B) 50
C) 7.1
D) 5.9

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On a Saturday evening in Chicago, 34% of the people go out to dinner, 18% go out to see a movie, 13% go out to a party, and 35% stay home. If five people are randomly selected on Monday morning, what is the probability that all but one went out Saturday night?


A) 0.048
B) 0.116
C) 0.181
D) 0.312

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Find the mean of the distribution shown. Find the mean of the distribution shown. A) 0.50 B) 1.50 C) 1.27 D) 1.78


A) 0.50
B) 1.50
C) 1.27
D) 1.78

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A coin is tossed five times. Find the probability of getting exactly three heads.


A) 0.125
B) 0.156
C) 0.800
D) 0.313

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D

A bag contains 30 white marbles and 40 black marbles. If 5 marbles are chosen, what is the probability that there will be 2 white marbles and 3 black marbles?


A) A bag contains 30 white marbles and 40 black marbles. If 5 marbles are chosen, what is the probability that there will be 2 white marbles and 3 black marbles? A) B) C) D)
B) A bag contains 30 white marbles and 40 black marbles. If 5 marbles are chosen, what is the probability that there will be 2 white marbles and 3 black marbles? A) B) C) D)
C) A bag contains 30 white marbles and 40 black marbles. If 5 marbles are chosen, what is the probability that there will be 2 white marbles and 3 black marbles? A) B) C) D)
D) A bag contains 30 white marbles and 40 black marbles. If 5 marbles are chosen, what is the probability that there will be 2 white marbles and 3 black marbles? A) B) C) D)

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The number of cartoons watched on Saturday mornings by students in Mrs. Kelly's first grade class is shown below. The number of cartoons watched on Saturday mornings by students in Mrs. Kelly's first grade class is shown below. What is the mean of the data? A) 1.37 B) 2.15 C) 1.89 D) 1.18 What is the mean of the data?


A) 1.37
B) 2.15
C) 1.89
D) 1.18

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Use the multinomial formula to find the probability for the following situation. X1 = 2, X2 = 1, X3 = 3 when n = 6, p1 = 0.3, p2 = 0.5, p3 = 0.2


A) Use the multinomial formula to find the probability for the following situation. X<sub>1</sub> = 2, X<sub>2</sub> = 1, X<sub>3</sub> = 3 when n = 6, p<sub>1</sub> = 0.3, p<sub>2</sub> = 0.5, p<sub>3</sub> = 0.2 A) <sup> </sup> B) C) D)
B) Use the multinomial formula to find the probability for the following situation. X<sub>1</sub> = 2, X<sub>2</sub> = 1, X<sub>3</sub> = 3 when n = 6, p<sub>1</sub> = 0.3, p<sub>2</sub> = 0.5, p<sub>3</sub> = 0.2 A) <sup> </sup> B) C) D)
C) Use the multinomial formula to find the probability for the following situation. X<sub>1</sub> = 2, X<sub>2</sub> = 1, X<sub>3</sub> = 3 when n = 6, p<sub>1</sub> = 0.3, p<sub>2</sub> = 0.5, p<sub>3</sub> = 0.2 A) <sup> </sup> B) C) D)
D) Use the multinomial formula to find the probability for the following situation. X<sub>1</sub> = 2, X<sub>2</sub> = 1, X<sub>3</sub> = 3 when n = 6, p<sub>1</sub> = 0.3, p<sub>2</sub> = 0.5, p<sub>3</sub> = 0.2 A) <sup> </sup> B) C) D)

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The probability that federal income tax returns will have 0, 1, or 2 errors is 0.73, 0.23, and 0.04, respectively. If 10 randomly selected returns are audited, what is the probability that eight will have no errors, two will have one error, and none will have two errors?


A) 0.043
B) 0.086
C) 0.192
D) 0.384

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