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Chapter 6: Q.116 (page 432)

Each entry in a table of random digits like Table Dhas probability $$ of being a 0 , and the digits are independent of one another. Each line of Table D contains 40 random

digits. The mean and standard deviation of the number of 0 s in a randomly selected line will be approximately

a. mean =0.1, standard deviation =0.05.

b. mean =0.1, standard deviation =0.1.

c. mean =4, standard deviation =0.05.

d. mean =4, standard deviation =1.90.

e. mean =4, standard deviation =3.60.

Short Answer

Expert verified

The correct option is (d)

Step by step solution

01

Given Information

Probability of success (p)=0.1

Number of trials(n)=4

02

Explanation for correct option

The mean and standard deviation can be calculated as:

μ=n×p=40(0.1)=4σ=n×p×(1-p)=40(0.1)(1-0.1)=1.9

The mean and standard deviation are 4 and 1.9respectively.

Hence, the correct option is (d).

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