Question

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

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

Answer 1

a) What proportion of the 400 salespeople received 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 salespeople both attended the special sales training program and received a bonus?

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

e) Based on your answers to parts a and d, does the special sales training program seem to have been effective? Explain your answer.

Explanation:

Answer 2

21/50

Explanation:

Total Number of salespeople in company = 400

Of these salespeople, number of people recieved bonus last year = 83

Number of salesperson attended special sales training = 100

And, Number of salesperson attended both special sales training and received a bonus = 42

Then proportion of salesperson who attended special sales training program and received bonus = Number of salesperson attended both special sales program and received a bonus / total number of salesperson attended special sales training

= 42/100

= 21/50