Exam 5: Discrete Probability Distributions

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The expected value of a random variable is

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When dealing with the number of occurrences of an event over a specified interval of time or space, the appropriate probability distribution is a _____ distribution.

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The probability distribution for the number of goals the Lions soccer team makes per game is given below. ​ The probability distribution for the number of goals the Lions soccer team makes per game is given below. ​   The expected number of goals per game is The expected number of goals per game is

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The following table shows part of the probability distribution for the number of boats sold daily at Boats Unlimited.It is known that the average number of boats sold daily is 1.57. The following table shows part of the probability distribution for the number of boats sold daily at Boats Unlimited.It is known that the average number of boats sold daily is 1.57.   ​ Compute the variance and the standard deviation for this probability distribution. ​ Compute the variance and the standard deviation for this probability distribution.

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The random variable x is the number of occurrences of an event over an interval of ten minutes.It can be assumed that 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 ten minutes is 5.3.The appropriate probability distribution for the random variable is

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The expected value for a binomial distribution is given by equation

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Thirty-six percent of the students in a management class are graduate students.A random sample of 5 students is selected.Using the binomial probability function, determine the probability that the sample contains exactly 2 graduate students? (Round to four decimal places.)

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Experiments with repeated independent trials will be described by the binomial distribution if​

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A production process produces 3% 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?

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The probability distribution for the daily sales at Michael's Co.is given below. ​ The probability distribution for the daily sales at Michael's Co.is given below. ​   ​ The expected daily sales are ​ The expected daily sales are

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The binomial probability distribution is used with a(n) _____ random variable.

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Roth is a computer-consulting firm.The number of new clients that they have obtained each month has ranged from 0 to 6.The number of new clients has the probability distribution that is shown below. ​ Roth is a computer-consulting firm.The number of new clients that they have 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 ​ The standard deviation is

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The key difference between the binomial and hypergeometric distribution is that, with the hypergeometric distribution the

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A name closely associated with the binomial probability distribution is​

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Which of the following is not a characteristic of an experiment where the binomial probability distribution is applicable?

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The probability distribution for the number of goals the Lions soccer team makes per game is given below. ​ 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 less than 2 goals? ​ What is the probability that in a given game the Lions will score less than 2 goals?

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The use of the relative frequency method to develop discrete probability distributions leads to what is called a _____ discrete distribution.

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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 _____ distribution

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The following represents the probability distribution for the daily demand of computers at a local store. The following represents the probability distribution for the daily demand of computers at a local store.   ​ The expected daily demand is ​ The expected daily demand is

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In a binomial experiment the probability of success is 0.16.What is the probability of two successes in seven trials?

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