A random variable has a triangular probability density function with a = 50, b = 375, and m = 250.

(a)

Sketch the probability distribution function for this random variable. Label the points a = 50, b = 375, and m = 250 on the x-axis. Choose the correct graph below.

(i)
(ii)
(iii)
(iv)

Graph (i)- Select your answer -Graph (i)Graph (ii)Graph (iii)Graph (iv)Item 1

(b)

What is the probability that the random variable will assume a value between 80 and 250? If required, round your answer to four decimal places.

(c)

What is the probability that the random variable will assume a value greater than 310? If required, round your answer to four decimal places.