Exam 7: A: Random Variables and Discrete Probability Distributions

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Risky Undertaking Suppose you make a $2,000 investment in a risky undertaking.There is a 50% chance that the payoff from the investment will be $5,000,a 20% chance that you will just get your money back,and a 30% chance that you will receive nothing at all from your investment. -{Risky Undertaking Narrative} If you invest $6,000 in the risky undertaking instead of $2,000 and the possible payoffs triple accordingly,what are the expected value of the net profit from the $6,000 investment?

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Unsafe Levels of Radioactivity The number of incidents at a nuclear power plant has a Poisson distribution with a mean of 6 incidents per year. -A continuous variable may take on any value within its relevant range even though the measurement device may not be precise enough to record it.

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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. 0 1 2 3 ( ) 0.35 0.35 0.25 0.05 -The covariance can be negative but the coefficient of correlation cannot.

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Unsafe Levels of Radioactivity The number of incidents at a nuclear power plant has a Poisson distribution with a mean of 6 incidents per year. -The number of homeless people in Boston is an example of a discrete random variable.

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The variance of a binomial distribution for which n = 100 and p = 0.20 is:

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