Exam 5: Discrete Probability Distributions

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A true-false test consists of six questions. If you guess the answer to each question, what is the probability of getting all six questions correct?

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David's gasoline station offers 4 cents off per litre if the customer pays in cash and does not use a credit card. Past evidence indicates that 40% of all customers pay in cash. During a one-hour period twenty-five customers buy gasoline at this station. What is the probability that at least ten pay in cash?

(Multiple Choice)
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If ? = 1/3 and n = 900, the mean of this binomial distribution is ______.

(Short Answer)
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The binomial distribution and the Poisson distribution have ________possible experimental outcomes.

(Short Answer)
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If your college hires the next four employees without regard to gender, and the pool of applicants is large with an equal number of men and women, then the probability distribution for the number x of women hired is described in the accompanying table. If your college hires the next four employees without regard to gender, and the pool of applicants is large with an equal number of men and women, then the probability distribution for the number x of women hired is described in the accompanying table.   The mean of the probability distribution = ______and its standard deviation =______ . The mean of the probability distribution = ______and its standard deviation =______ .

(Short Answer)
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An insurance agent has appointments with four prospective clients tomorrow. From past experience the agent knows that the probability of making a sale on any appointment is 1 out of 5. Using the rules of probability, what is the likelihood that the agent will sell a policy to at least 3 of the 4 prospective clients?

(Multiple Choice)
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When surveyed for brand recognition, 98% of consumers recognize Coke. A new survey of 800 randomly selected consumers is to be conducted. For such a group of 800, determine the mean and standard deviation for the number who recognize the Coke brand name. Considering as unusual a result that differs from the mean by more than two standard deviations, it ( (is/is not) ) unusual to get 775 consumers who recognize the Coke brand name.

(Multiple Choice)
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A binomial probability distribution approaches a greater degree of symmetry as probability of success remains constant and the number of trials becomes_______ .

(Short Answer)
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David's gasoline station offers 4 cents off per litre if the customer pays in cash and does not use a credit card. Past evidence indicates that 40% of all customers pay in cash. During a one-hour period twenty-five customers buy gasoline at this station. What is the probability that no more than twenty pay in cash?

(Multiple Choice)
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A marketing solutions poll of mutual funds and fund owners asked fund owners what action they took after the September 11th 2001 market drop. Sixteen percent of respondents said they bought more funds. If 600 fund owners were polled, the mean of the number of respondents who bought more funds =______ , and the standard deviation =______ . Considering as unusual a result that differs from the mean by more than two standard deviations, it ( (is/is not) ) unusual that in one of these polls of 600 fund owners, 100 respondents bought more mutual funds.

(Short Answer)
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Elly's hot dog emporium is famous for its chilidogs. Some customers order the hot dogs with hot peppers, while many do not care for that added bit of zest. Elly's latest sales indicate that 30% of the customers ordering her chilidogs order it with hot peppers. Suppose 18 customers are selected at random. What is the probability that exactly ten customers will ask for hot peppers?

(Multiple Choice)
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What kind of distribution are the binomial and Poisson distributions?

(Multiple Choice)
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If n = 900 and ? = 1/3, the variance of this binomial distribution is ______.

(Short Answer)
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A statistic professor finds she averages five e-mail messages per day from students. Assume the number of messages approximates a Poisson distribution. What is the probability that on a randomly selected day she will have five messages?

(Multiple Choice)
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An insurance agent has appointments with four prospective clients tomorrow. From past experience the agent knows that the probability of making a sale on any appointment is 1 out of 5. Using the rules of probability, what is the likelihood that the agent will sell a policy to 3 of the 4 prospective clients?

(Multiple Choice)
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David's gasoline station offers 4 cents off per litre if the customer pays in cash and does not use a credit card. Past evidence indicates that 40% of all customers pay in cash. During a one-hour period twenty-five customers buy gasoline at this station. This situation is an example of what type of discrete probability distribution?

(Multiple Choice)
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Let X represent the number of children in a Canadian household. The probability distribution of X is as follows: Let X represent the number of children in a Canadian household. The probability distribution of X is as follows:   The probability that a randomly selected Canadian household will have more than 3 children is_____ . The expected number of children in a randomly selected Canadian household is______ . The probability that a randomly selected Canadian household will have more than 3 children is_____ . The expected number of children in a randomly selected Canadian household is______ .

(Short Answer)
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What is a listing of all possible outcomes of an experiment and their corresponding probability of occurrence called?

(Multiple Choice)
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A company is studying the number of monthly absences among its 125 employees. The following probability distribution shows the likelihood that people were absent 0, 1, 2, 3, 4, or 5 days last month. A company is studying the number of monthly absences among its 125 employees. The following probability distribution shows the likelihood that people were absent 0, 1, 2, 3, 4, or 5 days last month.   What is the mean number of days absent? What is the mean number of days absent?

(Multiple Choice)
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A(n) _____population consists of a fixed number of individuals, objects, or measurements.

(Short Answer)
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