Problem 1. Find the value of k for which the following function would be a valid probability density function f(x)= k(x2+1) with 1

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Problem 1. Find the value of k for which the following function would be a valid probability density function
f(x)= k(x2+1) with 1<x<4
or f(x) = 0 of which is otherwise
a. Calculate P(x-3)
b. Calculate P(2≤ x ≤ 3).
Transcribed Image Text:Problem 1. Find the value of k for which the following function would be a valid probability density function f(x)= k(x2+1) with 1<x<4 or f(x) = 0 of which is otherwise a. Calculate P(x-3) b. Calculate P(2≤ x ≤ 3).
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