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Chapter 5: Q.5.32 (page 348)

Use the following information to answer the next eight exercises. A distribution is given as X~U(0,12).

Find P(x>9).

Short Answer

Expert verified

The value of theP(x>9)will be0.25.

Step by step solution

01

Given information

A distribution is given as X~U(0,12)

02

Solution 

The probability density function or height for variable X, which follows uniform distribution with parameter (0,12), is shown below:

f(x)=112−0

=112

Thus the value of localid="1647972154806" P(x>9)will be:

P(x>9)=base×height

=(12−9)×112

=312

=0.25

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