5.22 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 GREATER THAN AND EQUAL TO
<5 6-10 11-15 16-20 21-30 >31 LESS THAN AND EQUAL TO
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); P(A or B or C').
Relative frequencies for one-way distances are given in the solution. A venn diagram is provided.