Let X be a continuous random variable with probability density function: fX(x) = ( 3 4 x (2 − x) 0 ≤ x ≤ 2 0 otherwise. (a) Dete

Question

3 years ago

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Let X be a continuous random variable with probability density function: fX(x) = ( 3 4 x (2 − x) 0 ≤ x ≤ 2 0 otherwise. (a) Dete

rmine the cumulative distribution function FX. (b) Let Y = √ X. Determine the cumulative distribution function FY . (c) Determine the probability density of Y

Mathematics

1 answer:

nikklg [1K] · Answer 1 · 2022-08-10T17:00:39+03:00

nikklg [1K]3 years ago

4 0

Answer:

attached below

Step-by-step explanation:

Given : FX (x) = 3/4x (2-x) 0 ≤ x ≤ 2

a) Calculate the cumulative distribution function FX

Cdf =

attached below is the detailed solution

b) Let Y = √ X. determine CDF

attached below

c) calculate PDF