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Chapter 5: Q.15 (page 347)

f(x)a continuous probability function, is equal to 13and the function is restricted to 1鈮�x鈮�4. DescribePx>32.

Short Answer

Expert verified

The required probability isPx>32=0.83

Step by step solution

01

Given Information 

f(x)a continuous probability function is equal to 13.

The function is restricted to 1鈮�x鈮�4.

We need to describePx>32

02

Calculation

Here Xfollows a uniform distribution.

The area between 1鈮�x鈮�4forms a rectangle with Xaxis

Here,

Height=13

Base=4鈭�32

=8鈭�32

=2.5

Therefore, the required probability is,

Px>32=Base脳Height

=(2.5)脳13

=0.83

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