Exam 5: Discrete Distributions

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The following graph is a binomial distribution with n = 6: The following graph is a binomial distribution with n = 6:   This graph reveals that ___. This graph reveals that ___.

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Solve problems involving the Poisson distribution using the Poisson formula and the Poisson table.

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Both the Poisson and the binomial distributions are discrete distribution and both have a given number of trials.

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Suppose a committee of 3 people is to be selected from a group consisting of 4 men and 5 women.What is the probability that one man and two women are selected?

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Pinky Bauer,Chief Financial Officer of Harrison Haulers,Inc. ,suspects irregularities in the payroll system,and orders an inspection of a random sample of vouchers issued since January 1,2013.A sample of ten vouchers is randomly selected,without replacement,from the population of 2,000 vouchers.Each voucher in the sample is examined for errors and the number of vouchers in the sample with errors is denoted by x.If 20% of the population of vouchers contains errors,the mean value of x is ___.

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A Bernoulli process (each trial)has exactly ___ possible outcomes.

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A market research team compiled the following discrete probability distribution.In this distribution x represents the number of automobiles owned by a family. A market research team compiled the following discrete probability distribution.In this distribution x represents the number of automobiles owned by a family.   The standard deviation of x is ___. The standard deviation of x is ___.

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The number of automobiles sold by a dealership in a day is an example of a discrete random variable.

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The amount of time a patient waits in a doctor's office is an example of a continuous random variable.

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A market research team compiled the following discrete probability distribution for families residing in Randolph County.In this distribution x represents the number of evenings the family dines outside their home during a week. A market research team compiled the following discrete probability distribution for families residing in Randolph County.In this distribution x represents the number of evenings the family dines outside their home during a week.   The mean (average)value of x is ___. The mean (average)value of x is ___.

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Solve problems involving the hypergeometric distribution using the hypergeometric formula.

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One hundred policyholders file claims with CareFree Insurance.Ten of these claims are fraudulent.Claims manager Earl Evans randomly selects four of the ten claims for thorough investigation.If x represents the number of fraudulent claims in Earl's sample,x has a ___ distribution.

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A student randomly guesses the answers to a five question true/false test.If there is a 50% chance of guessing correctly on each question,what is the probability that the student misses exactly 1 question?

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Ten policyholders file claims with CareFree Insurance.Three of these claims are fraudulent.Claims manager Earl Evans randomly selects three of the ten claims for thorough investigation.If x represents the number of fraudulent claims in Earl's sample,P(x=0)is ___.

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As in a binomial distribution,successive trials of a hypergeometric distribution are independent.

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Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business,but after scanning the list she doubts the authenticity of the list.She randomly selects five names from the list for validation.If 40% of the names on the list are non-authentic,and x is the number of non-authentic names in her sample,P(x<2)is ___.

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A fair coin is tossed 5 times.What is the probability that exactly 2 heads are observed?

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The Poisson distribution is being used to approximate a binomial distribution.If n=60 and p=0.02,what value of lambda would be used?

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Variables which take on values only at certain points over a given interval are called continuous random variables.

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The number of cars arriving at a toll booth in five-minute intervals is Poisson distributed with a mean of 3 cars arriving in five-minute time intervals.The probability of 3 cars arriving over a five-minute interval is ___.

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