Each salesperson in a large department store chain is rated on their sales ability and their potential for advancement. The data for the 500 sampled salespeople are summarized in the following table. What is the probability that a salesperson selected at random has above average sales ability and has excellent potential for advancement?
A) 0.20
B) 0.50
C) 0.27
D) 0.75

Question

Each salesperson in a large department store chain is rated on their sales ability and their potential for advancement. The data for the 500 sampled salespeople are summarized in the following table.  What is the probability that a salesperson selected at random has above average sales ability and has excellent potential for advancement?
A) 0.20 
B) 0.50 
C) 0.27 
D) 0.75

Quizplus · Accepted Answer

To find the probability that a salesperson selected at random has above average sales ability and has excellent potential for advancement, we need to look at the intersection of the two categories. From the table, we see that 135 salespeople have above average sales ability, of which 50 have excellent potential for advancement. Therefore, the probability is:

P(above average sales ability and excellent potential for advancement) = 50/500 = 0.10

So the correct answer is C, which represents 0.27, the decimal equivalent of 27%.

Each Salesperson in a Large Department Store Chain Is Rated