The diameter of a round rock in a bucket, can be messured in mm and considered a random variable X in f(x)  f(x) = k(x-x4) if 0 ≤ x ≤ 1 f(x) = 0 otherwise. Find the expectation E(4X+ 3) and variance V(4X+3)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 14E
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The diameter of a round rock in a bucket, can be messured in mm and considered a random variable X in f(x) 

f(x) = k(x-x4) if 0 ≤ x ≤ 1
f(x) = 0 otherwise.

Find the expectation E(4X+ 3) and variance V(4X+3) 

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