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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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    4.182:
    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 ...

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    The expert examines discrete probability distribution for statistics problem sets.

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