Question

Suppose that the random variable X has the following cumulative probability distribution X: 0 1. 2....

Suppose that the random variable X has the following cumulative probability distribution

X: 0 1. 2. 3. 4

F(X): 0.1 0.29. 0.49. 0.8. 1.0

Part 1:  Find P open parentheses 1 less or equal than x less or equal than 2 close parentheses

Part 2: Determine the density function f(x).

Part 3: Find E(X).

Part 4: Find Var(X).

Part 5: Suppose Y = 2X - 3,  for all of X, determine E(Y) and Var(Y)

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