1. Find the value of fx (8√2) 2. Find the value of p₁ = P(64/9 ≤ x ≤ 12). 3. Find the probability p₂ = P(X ≥ 12). (f. (8/2) )-01178045370 3500

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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Let X be a random variable with cumulative distribution function
Fx (x)=0 if x ≤ 0,
Find the probability density function fx of X and
1. Find the value of fx (8√/2)
2. Find the value of p₁ = P(64/9 ≤ x ≤ 12).
3. Find the probability p₂ = P(X ≥ 12).
(fx (8√2), P₁, P2) = 0.1179,0.4537,0.2500
x
24
x²
192
1
if 0 < x≤ 8,
if 8 < x < 8√3,
if x > 8√3.
Transcribed Image Text:Let X be a random variable with cumulative distribution function Fx (x)=0 if x ≤ 0, Find the probability density function fx of X and 1. Find the value of fx (8√/2) 2. Find the value of p₁ = P(64/9 ≤ x ≤ 12). 3. Find the probability p₂ = P(X ≥ 12). (fx (8√2), P₁, P2) = 0.1179,0.4537,0.2500 x 24 x² 192 1 if 0 < x≤ 8, if 8 < x < 8√3, if x > 8√3.
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