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L EVALUATE THE FOLLOWING PROBLEM. PROBLEM 1. Consider the function f (x) = x 0sxs 3 (2 - 7x 35 x5 4) = 10 otherwise]

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L EVALUATE THE FOLLOWING PROBLEM. PROBLEM 1. Consider the function f (x) = x 0sxs 3 (2 - 7x 35 x5 4) = 10 otherwise] Calculate P( 2 s X s 4) PROBLEM 2 Consider the function f (x) = (-+(x +1) isxs4 = 10 otherwise Calculate P (X = 3 ) Calculate P (2 s X s 3) PROBLEM 3 Consider the function f (x) = (k -= 1sxs 3 otherwise which is being used as a probability density function for a continuous random variable x. a. Find the value of K b. Find P ( X s 2.5)

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