A random variable X takes values between 4 and 6 with a probability density function f (x) = xln(1.5) for 4

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A random variable X takes values between 4 and 6 with a
probability density function
1
f (x)
xln(1.5)
for 4 <x<6
(i) Check that the total area under the probability density
function is equal to 1.
(ii) What is P(4.5 <X<5.5)?
(ii) Calculate the cumulative distribution
function.
Transcribed Image Text:A random variable X takes values between 4 and 6 with a probability density function 1 f (x) xln(1.5) for 4 <x<6 (i) Check that the total area under the probability density function is equal to 1. (ii) What is P(4.5 <X<5.5)? (ii) Calculate the cumulative distribution function.
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