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Chapter 6: Q4 (page 250)

Random Digits Computers are commonly used to randomly generate digits of telephone numbers to be called when conducting a survey. Can the methods of this section be used to find the probability that when one digit is randomly generated, it is less than 3? Why or why not? What is the probability of getting a digit less than 3?

Short Answer

Expert verified

The random generation of digits follows a uniform distribution. Thus, the methods of this section cannot be used to find the probability of one digit.

The probability of getting a digit less than 3 is equal to 0.3.

Step by step solution

01

Given information

One digit is randomly generated using a computer.

02

Appropriate probability distribution

When digits are randomly generated, they follow a uniform distribution. A uniform distribution means that the probability of occurrence of each digit is the same.

This section describes the use of the normal distribution.

Since the random generation of digits does not follow a normal distribution, the methods of this section cannot be used to find the probability of one digit.

The probability of getting a digit less than 3 is equal to as follows:

Pdigit鈥�lessthan3=Numberofdigitslessthan鈥�3Totalnumberofdigits=310=0.3

Therefore, the probability of getting a digit less than 3 is equal to 0.3.

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