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    Statistics Problem Set: Discrete Probability Distribution

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    4.182: For each of the following examples, decide whether x is a binomial random variable and explain your decision. (see examples attached).

    4.184: Consider the discrete probability distribution shown here.

    x 10 12 18 20
    p(x) .2 .3 .1 .4

    a) Calculate mean, variance and standard deviation.
    b) What is P(x < 15)?
    c) Calculate mean + or - 2*standard deviation
    d) What is the probability that x is in the interval from c.

    4.186: Suppose x is a Poisson random variable. Compute p(x) for each of the following cases:
    a) Lambda = 2, x = 3
    b) Lambda = 1, x = 4
    c) Lambda = 0.5, x = 2

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    Please see attached document for full solutions.
    a) Yes, x is a binomial random variable. As the event a chip is defective is independent of each other, and the probability that each chip is defective is fixed. In ...

    Solution Summary

    The expert examines discrete probability distribution for statistics problem sets.