The probability density function of the random variable X is given by: Sce-2x 0 f(x)= = for x > 0 otherwise. For what value of c is this a legit density function? Find the value for c, then calculate P(X > 2).

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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The probability density function of the random variable X is given by:
1= {0e-
f(x) =
for x ≥ 0
otherwise.
For what value of c is this a legit density function? Find the value for c, then calculate
P(X > 2).
Transcribed Image Text:n The probability density function of the random variable X is given by: 1= {0e- f(x) = for x ≥ 0 otherwise. For what value of c is this a legit density function? Find the value for c, then calculate P(X > 2).
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