# Concepts of Probability & Venn Diagram

Survey of Employees

A survey of employees at a large company found the following relative frequencies for the one-way distances they had to travel to arrive at work:

Number of miles (one-way)

A B C D E F

< 5 6-10 11-15 16-20 21-30 > 31

Relative

Frequency 0.38 0.25 0.16 0.09 0.07 0.05

a. What is the probability that a randomly selected individual will have to travel 11 or more miles to work?

b. What is the probability that a randomly selected individual will have to travel between 6 and 15 miles to work?

c. Draw a Venn diagram that includes the relative frequency probabilities in the table.

d. Using the letter identifications provided, calculate the following probabilities: P(A or B or E); P(A or F); P(A' or B); (A or B or C').

NOTE: When using calculations, please use an Excel spreadsheet or submit

the response so that I can transfer it to a spreadsheet. Also, please indicate

the steps for drawing a Venn diagram

(5.22)

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#### Solution Summary

Complete and Correct Answers along with Venn Diagrams are provided in the Solution.