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# Concepts of Probability & Venn Diagram

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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').

the response so that I can transfer it to a spreadsheet. Also, please indicate
the steps for drawing a Venn diagram

(5.22)