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Exam 5: Discrete Probability Distributions

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Question 1

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A jewellery supplier has a supply of pairs of earrings of which 10% are platinum pairs.A jewellery store orders five sets of earrings from this supplier.If the supplier selects the pairs of earrings at random, what Is the chance that the jewellery store gets exactly two sets of platinum pairs?

A) 0.3645
B) 0.0405
C) 0.0729
D) 0.0030

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Question 2

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A pet supplier has a stock of parakeets of which 10% are blue parakeets.A pet store orders 3 parakeets from this supplier.If the supplier selects the parakeets at random, what is the chance that the pet store Gets exactly one blue parakeet?

A) 0.081
B) 0.243
C) 0.027
D) 0.003

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Question 3

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In a survey, 65% of the voters support a particular referendum.If 40 voters are chosen at random, and X is the number of voters that support this referendum, find the standard deviation of X.

The Poisson distribution is used when n is small and p is large.

If there are 20 typographical errors randomly distributed in a 250-page document, the probability that a given page contains exactly two errors is 0.3%.

In a survey, 80% of the voters support a particular referendum.If 40 voters are chosen at random, and X is the number of voters that support this referendum, find the mean and variance of X.

What of the following pairs of probability values would complete the following probability distribution?

What is the standard deviation of the following probability distribution?

Find the mean of the distribution shown.

A package of 10 batteries is checked to determine if there are any dead batteries.Four batteries are checked.If one or more are dead, the package is not sold.What is the probability that the package will Not be sold if there are actually three dead batteries in the package?

The number of song requests a radio station receives per day is indicated in the table below.Construct a graph for this data.

A(n) __________ is one in which values are determined by chance. ________________________________________

If the standard deviation of a probability distribution is 6.25, the variance is 2.30.

A(n) __________ probability distribution consists of the values a random variable can assume and the corresponding probabilities of the values. ________________________________________

Which of the following could be used as a measure of spread of a probability distribution.

A bag contains 25 white marbles and 32 black marbles.The probability P(X) of selecting without replacement a sample of size 9 of 3 white marbles and 6 black marbles is

The probability of observing 50 heads in 100 tosses of a fair coin is less likely than observing 500 heads in 1000 tosses.

A computer store has 50 printers of which 40 are laser printers and 10 are ink jet printers.If a group of 10 printers is chosen at random from the store, find the mean and variance of the number of ink jet Printers.

In binomial experiments, the outcomes are usually classified as successes or failures.

The probability that federal income tax returns will have 0, 1, or 2 errors is 0.53, 0.15, and 0.32, respectively.If 10 randomly selected returns are audited, what is the probability that six will have no Errors, three will have one error, and one will have two errors?