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A classic study by F. Thorndike on the number of calls to a wrong number appeared in the paper "Applications of Poisson's Probability Summation" (Bell Systems Techical Journal. Vol. 5, pp. 604-624). The study examined the number of calls to a wrong number from coin-box telephones in a large transportation terminal. Based on the results of that paper. we obtained the following percent distribution for the number of wrong numbers during a 1-minute period.

a. Construct a relative-frequency histogram of these wrong-number data.

b. Based on your histogram, do you think that the number of wrong numbers from these coin-box telephones is approximately normally distributed? Explain your answer.

Short Answer

Expert verified

(a)

(b) The number of incorrect numbers dialed from these coin-box telephones is not evenly distributed.

Step by step solution

01

Part (a) Step 1: Given information

Given in the question that, A classic study by F. Thorndike on the number of calls to a wrong number appeared in the paper "Applications of Poisson's Probability Summation" (Bell Systems Technical Jour. nal. Vol. 5 , pp. 604-624). The study examined the number of calls to a wrong number from coin-box telephones in a large transportation terminal. Based on the results of that paper. we obtained the following percent distribution for the number of wrong numbers during a 1-minute period.

We need to construct a relative-frequency histogram of these wrong-number data.

02

Part (a) Step 2: Explanation

A frequency histogram is a sort of bar graph that displays the frequency, or number of times, a data set's outcome happens. To graphically show the data, it has a title, an x-axis, a y-axis, and vertical bars.

The given data is

WrongPercent
017.2
1
30.5
2
26.6
3
15.1
4
7.3
5
2.4
6
0.7
7
0.1
8
0.1

The frequency histogram of the supplied data with incorrect numbers can be produced as follows:

03

Part (b) Step 1: Given information

Given in the question that, A classic study by F. Thorndike on the number of calls to a wrong number appeared in the paper "Applications of Poisson's Probability Summation" (Bell Systems Techical Journal. Vol. 5. pp. 604-624). The study examined the number of calls to a wrong number from coin-box telephones in a large transportation terminal. Based on the results of that paper. we obtained the following percent distribution for the number of wrong numbers during a 1-minute period.

Based on the histogram we need to explain that the number of wrong numbers from these coin-box telephones is approximately normally distributed.

04

Part (b) Step 2: Explanation

Wrong
Percent
0
17.2
1
30.5
2
26.6
3
5.1
4
7.3
5
2.4
6
0.7
7
0.1
8
0.1

The frequency histogram of the supplied data with incorrect numbers can be produced as follows:

The form of the distribution is right skewed, as can be seen above. As a result, the number of incorrect numbers dialed from these coin-box telephones is not evenly distributed.

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