Question: The following density function describes the random variable X. f1x2 = d x 25 0 6 x 6 5 10 - x 25 5 6

The following density function describes the random variable X.

f1x2 = d x 25 0 6 x 6 5 10 - x 25 5 6 x 6 10 f1x2 = x - 1 8 1 6 x 6 5 P1X = 1.52 P1X 6 .52 P1X 7 12

a. Graph the density function.

b. Find the probability that X lies between 1 and 3.

c. What is the probability that X lies between 4 and 8?

d. Compute the probability that X is less than 7.

e. Find the probability that X is greater than 3.

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