Exam 6: Discrete Probability Distributions

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Judging from recent experience,5 percent of the computer keyboards produced by an automatic,high-speed machine are defective.If six keyboards are randomly selected,what is the probability that none of the keyboards are defective?

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What kind of distribution are the binomial and Poisson distributions?

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A company is studying the number of daily debit card purchases.If there were 20 purchases and the probability of a debit card purchase is 0.5.What is the shape of this distribution? Explain your answer.

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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 variance of the number of days absent? -What is the variance of the number of days absent?

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A discrete random variable can have only certain clearly separated values.

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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?

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If we measure the weight of a car,the variable is a discrete random variable.

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A probability distribution shows the outcomes of an experiment and the ___________________ of each one occurring.

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Which shape describes a Poisson distribution?

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To construct a binomial distribution,it is necessary to know the total number of trials and the probability of success on each trial.

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A manufacturer of headache medicine claims it is 70 percent effective within a few minutes.That is,out of every 100 users 70 get relief within a few minutes.A group of 12 patients are given the medicine.If the claim is true,what is the probability that 8 have relief within a few minutes?

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David's gasoline station offers 4 cents off per gallon 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?

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If the probability of success ( π\pi )remains the same,but n increases,the shape of the binomial distribution becomes more symmetrical.

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The Poisson probability distribution is a continuous probability distribution.

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