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In: Statistics and Probability

The following density function describes a random variable X. f(x)= (x/64) if 0<x<8 and f(x) =...

The following density function describes a random variable X. f(x)= (x/64) if 0<x<8 and f(x) = (16-x)/64 if 8<x<16

A. Find the probability that X lies between 2 and 6.

B. Find the probability that X lies between 5 and 12.

C. Find the probability that X is less than 11.

D. Find the probability that X is greater than 4.

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