MATH 1610 Lecture Notes - Lecture 15: Random Variable

Let Y be a random variable with a density function given by

Find the density function of 

Let a chip be taken at random from a bowl that contains six white chips, three red chips, and one bluechip. Let the random variable X = 1 if the outcome is a white chip, let X = 5 if the outcome is a red chip, and let X = 10 if the outcome is a blue-chip.

(a) Find the pmf of X.

(b) Graph the pmf as a line graph.

Let x be a continuous random variable with probability density function f (x) = 2x, 0 ≤ x ≤ 1.

Calculate E[X] and Var(X).