The probability distribution function of a random

The probability distribution function of a random
STAT 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.