Let X be a random variable whose distribtion function is Ft

Let X be a random variable whose distribtion function is F(t) = t/4 when 0 < t < 4.

1. Find P(3 < X < 4).

2. Find the variance of X.

3. Find P(X = 2).

4. Find the probability that X > 3 if it is known that X > 2.

5. Write an instruction (in BASIC or pseudocode) that would generate values of Y, where Y = X + 1.

This is for Stochastic Models. If you could show how and explain how you got the answer that would be very helpful! Thank you!

Solution

Let X be a random variable whose distribtion function is F(t) = t/4 when 0 < t < 4. 1. Find P(3 < X < 4). 2. Find the variance of X. 3. Find P(X = 2

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