1. Employees in the textile industry can be segmented as follows

Employees Number
Female and union 12,000
Female and nonunion 25,000
Male and union 21,000
Male and nonunion 42,000

a. Determine the probability of each event in this distribution.

b. Are the events in this distribution mutually exclusive? Explain.

c. What is the probability that an employee is male?

d. Is this experiment collectively exhaustive? Explain.

2. The Polo Development Firm is building a shopping center. It has informed renters that their rental spaces will be ready for occupancy in 19 months. If the expected time until the shopping center is completed is estimated to be 14 months with a standard deviation of 4 months, what is the probability that the renters will not be able to move in 19 months?

3. Erin Richards is a junior at Central High School and she has talked to her guidance counselor about her chances of being admitted to Tech after her graduation. The guidance counselor has told her that Tech generally accepts only those applicants who graduate in the top 10% of their high school class. The average grade point average of the last four senior classes has been 2.67, with a standard deviation of 0.58. What GPA will Erin have to achieve to be in the top 10% of her class?