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Chapter 5: Q.5.30 (page 348)

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

What is the theoretical standard deviation?

Short Answer

Expert verified

The theoretical standard deviation is3.46.

Step by step solution

01

Given information

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

02

Solution

For any random variable Xwhich follows uniform distribution with parameter (0,12), the theoretical standard deviation is shown below:

蟽=(b鈭�a)212

=(12鈭�0)212

=14412

=12

=3.46

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