A company employs 400 salespeople Of these 83 receive a bonu

A company employs 400 salespeople. Of these, 83 receive a bonus last year, 100 attended special training program at the beginning of last year, and 42 both attended the special sales and training received a bonus. (Note: Bonus was based totally on sales performance)

a) What proportion of the 400 salespeople recieved a bonus last year?

b) What proportion of the 400 salespeople attended the special sales training program at the beginning of last year?

c) What proportion of the 400 sales people both attend the special sales training program and recieved a bonus?

d) Whar proportion of the sales people who attended the special sales training program recieved a bonus?

e) Whar proportion of the 400 salespeople did not attend the sales training program and did not recieve a bonus?

*THIS IS ALL THE INFO GIVEN FOR THIS PROBLEM.

Solution

A company employs 400 salespeople. Of these, 83 receive a bonus last year, 100 attended special training program at the beginning of last year, and 42 both attended the special sales and training received a bonus. (Note: Bonus was based totally on sales performance)

a) What proportion of the 400 salespeople received a bonus last year?

P=83/400=0.2075

b) What proportion of the 400 salespeople attended the special sales training program at the beginning of last year?

P=100/400=0.25

c) What proportion of the 400 sales people both attend the special sales training program and received a bonus?

P=42/400=0.105

d) What proportion of the sales people who attended the special sales training program received a bonus?

sales people who attended the special sales training program =100

sales people who attended the special sales training program and received a bonus=42

P=42/100 =0.42

e) What proportion of the 400 salespeople did not attend the sales training program and did not receive a bonus?

Attended the sales training program or received a bonus =100+83-42 =141

sales people did not attend the sales training program and did not receive a bonus= 400-141 =259

P=259/400 =0.6475