The probability distribution function of a random

    The probability distribution function of a randomSTAT 1603-The probability distribution function of a random
    The probability distribution function of a random variable, X is given by f(x)=k(x2 ?1) where x=2,3,4,5

    Let F(x) be the c.d.f of X.
    (a) The random variable X is continuous. True or false?

    (b) f(x) is a probability mass function. True or false?

    (c) Construct the probability distribution table for X.

    (d) Determine the value of the constant, k.
    (e) Find the E(X), SD(X), V ar(X) and modeX , medX .

    (f) Find the values of f(3.5) and F(3.5).
    (g) Sketch f(x), the probability distribution function.

    (h) Sketch F(x), the cumulative distribution function of X.

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