Exam 6: Random Variables and Discrete Probability Distributions

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The probability of a success in a binomial experiment is denoted by ____________________.

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Gym Visits Let X represent the number of times a student visits a gym in a one month period. Assume that the probability distribution of X is as follows: Gym Visits Let X represent the number of times a student visits a gym in a one month period. Assume that the probability distribution of X is as follows:   {Gym Visits Narrative} What is the probability that the student visits the gym at least once in a month? {Gym Visits Narrative} What is the probability that the student visits the gym at least once in a month?

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In a Poisson experiment, the probability of a success in an interval is ____________________ to the size of the interval.

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Online Bankers An official from the securities commission estimates that 75% of all online bankers have profited from the use of insider information. Assume that 15 online bankers are selected at random from the commission's registry. {Online Bankers Narrative} Find the probability that at most 10 have profited from insider information.

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If n = 20 and p = 0.70, then the standard deviation of the binomial distribution is

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Online Bankers An official from the securities commission estimates that 75% of all online bankers have profited from the use of insider information. Assume that 15 online bankers are selected at random from the commission's registry. {Online Bankers Narrative} Find the probability that at least 6 have profited from insider information.

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If X has a binomial distribution with n = 4 and p = 0.3, find the probability that X is at most one.

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The Poisson random variable is a:

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Which of the following cannot have a Poisson distribution?

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Let X be a binomial random variable with n = 25 and p = 0.01. a. Use the binomial table to find P ( X = 0), P ( X = 1), and P ( X = 2). b. Find the variance and standard deviation of X .

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Evaluate the following binomial coefficients. a. Evaluate the following binomial coefficients.   a.     b.     c.     d.  b. Evaluate the following binomial coefficients.   a.     b.     c.     d.  c. Evaluate the following binomial coefficients.   a.     b.     c.     d.  d. Evaluate the following binomial coefficients.   a.     b.     c.     d.

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Retries The following table contains the probability distribution for X = the number of retries necessary to successfully transmit a 1024K data package through a double satellite media. Retries The following table contains the probability distribution for X = the number of retries necessary to successfully transmit a 1024K data package through a double satellite media.   {Retries Narrative} What is the standard deviation of the number of retries? {Retries Narrative} What is the standard deviation of the number of retries?

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A lab at the DeBakey Institute orders 150 rats a week for each of the 52 weeks in the year for experiments that the lab conducts. Suppose the mean cost of rats used in lab experiments turned out to be $20.00 per week. Interpret this value.

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Sports Fans Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected. {Sports Fans Narrative} Find the probability that more than 1 student is a sports fan.

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