13. Suppose that X is a continuous random variable with the probability density func- tion given by ket if x < 0 f(x) = k if x > 0 (x + 1)2 where k E R is a constant. Find the value of k.

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
Section13.1: Continuous Probability Models
Problem 16E
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13. Suppose that X is a continuous random variable with the probability density func-
tion given by
ket
if x < 0
f(x) :
k
if x > 0
(x + 1)2
where k e R is a constant.
Find the value of k.
Transcribed Image Text:13. Suppose that X is a continuous random variable with the probability density func- tion given by ket if x < 0 f(x) : k if x > 0 (x + 1)2 where k e R is a constant. Find the value of k.
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