a) Find constant c. b) Find P[X1/2]. c) Find P-3/4 < X ≤ −1/4]. d) Find P[|X|≤1/2]. e) For what value of a do we get P[X > a] = 7/16? The CDF of continuous random variable X is 0 Fx(x) = 1 x < -1 c(x+1)2-1≤ x < 1 x > 1

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.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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a) Find constant c.
b) Find P[X1/2].
c) Find P-3/4 < X ≤ −1/4].
d) Find P[|X|≤1/2].
e) For what value of a do we get P[X > a] = 7/16?
Transcribed Image Text:a) Find constant c. b) Find P[X1/2]. c) Find P-3/4 < X ≤ −1/4]. d) Find P[|X|≤1/2]. e) For what value of a do we get P[X > a] = 7/16?
The CDF of continuous random variable X is
0
Fx(x) =
1
x < -1
c(x+1)2-1≤ x < 1
x > 1
Transcribed Image Text:The CDF of continuous random variable X is 0 Fx(x) = 1 x < -1 c(x+1)2-1≤ x < 1 x > 1
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