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Let X be a random variable of the mixed type having the distribution function F (...

Let X be a random variable of the mixed type having the distribution function

F ( x ) = 0 w h e r e x < 0

F ( x ) = x 2 4 w h e r e 0 ≤ x < 1

F ( x ) = x + 1 4 w h e r e 1 ≤ x < 2

Question 1: Find the mean of X

Question 2: Find the variance of X

Question 3: Find P(1/4 < X < 1)

Question 4: Find P(X = 1)

Question 5: Find P(X = 1/2)

Please help me all of these questions

Math   Statistics-And-Probability   
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