Question: 1.Let X be the continuous ramdom variable whose probability density function is f(x)= {1/6 (x-5), 7

1.Let X be the continuous ramdom variable whose probability density function is

f(x)= {1/6 (x-5), 7 

a. Verify if it is a valid probability density function.

b. Find P(X< 8)

c. Compute the mean/expected value.

d. Compute the variance.

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