Let X be a random variable with probability density function fx(x) = ccosx if -100 x 0 Otherwise. 1. Find the value of c. 2. Find the value of p₁ = P(-≤X ≤ 16). 3. Find the probability P₂ = P(X ≤). (c, P₁, P2) = 0.5000,0.3090,0.3459 π T

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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How were the answers of 0.5000, 0.3090, and 0.3459 attained?

Let X be a random variable with probability density function
ㅠ
2
Otherwise.
fx(x) = c cos x if
0
1. Find the value of c.
2. Find the value of p₁ = P(-1 ≤X ≤ 0).
3. Find the probability P₂ = P(X ≤).
P2
(c, P1, P2) =
0.5000,0.3090,0.3459
I
≤x≤
เล
Transcribed Image Text:Let X be a random variable with probability density function ㅠ 2 Otherwise. fx(x) = c cos x if 0 1. Find the value of c. 2. Find the value of p₁ = P(-1 ≤X ≤ 0). 3. Find the probability P₂ = P(X ≤). P2 (c, P1, P2) = 0.5000,0.3090,0.3459 I ≤x≤ เล
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