For the given question solve the following: (a) Construct the cumulative distribution function. (b) What is the expected value, variance, and standard deviation of this random variable?

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 25E
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For the given question solve the following:

(a) Construct the cumulative distribution function.
(b) What is the expected value, variance, and standard deviation of this random variable?

a A random variable X takes values between 4 and 6 with a probability density function f(x) =
for 4 ≤ x ≤ 6 and f(x) = 0 elsewhere.
1
xln(1.5)
Transcribed Image Text:a A random variable X takes values between 4 and 6 with a probability density function f(x) = for 4 ≤ x ≤ 6 and f(x) = 0 elsewhere. 1 xln(1.5)
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