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

The probability of a salesperson having above average sales ability is 240/500 = 0.48.
The probability of a salesperson having excellent potential for advancement is 135/500 = 0.27.
To find the probability that a salesperson has both above average sales ability and excellent potential for advancement, we multiply the two probabilities:
0.48 x 0.27 = 0.1296 or approximately 0.13.
Therefore, the answer is C.

Each Salesperson in a Large Department Store Chain Is Rated