* A random variable X takes values between 4 and 6 with a probability density function f (x) = for 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 10E
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* 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.
(a) Check that the total area under the probability density function is equal to 1.
(b) What is P(4 < x < 5)?
(c) Construct the cumulative distribution function.
(d) What is the expected value of this random variable?
(e) What is the variance of this random variable?
(f) What is the standard deviation of this random variable?
xln(1.5)
Transcribed Image Text:* 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. (a) Check that the total area under the probability density function is equal to 1. (b) What is P(4 < x < 5)? (c) Construct the cumulative distribution function. (d) What is the expected value of this random variable? (e) What is the variance of this random variable? (f) What is the standard deviation of this random variable? xln(1.5)
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