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Chapter 15: Q5P (page 749)

A random variable x takes the values with probabilities 512,13,112,16.

Short Answer

Expert verified

The required values are mentioned below.

渭=1var(x)=76蟽=76

Step by step solution

01

Given Information

A random variable x.

02

Definition of the cumulative distribution function

The likelihood that a comparable continuous random variable has a value less than or equal to the function's argument is the value of the function.

03

Find the values

The mean is given below.

渭=鈭�0脳5pxi渭=0脳512+1脳13+2脳112+3脳16渭=1

The variance is given below.

var(x)=鈭�xi鈭�渭2pxivar(x)=0-12脳512+1-12脳13+脳112+3-12脳16var(x)=76

The standard deviation is given below.

蟽=var(x)蟽=76

Thegraph is shown below.

Hence, the required values are mentioned below.

渭=1var(x)=76蟽=76

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