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 is an 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 is an excellent potential for advancement?
A) 0.20 
B) 0.50 
C) 0.27 
D) 0.75

Quizplus · Accepted Answer

From the table, we can see that there are 225 salespeople with above average sales ability and 135 salespeople with excellent potential for advancement. Therefore, the probability of selecting a salesperson with above average sales ability is 225/500 = 0.45, and the probability of selecting a salesperson with excellent potential for advancement is 135/500 = 0.27. 
To find the probability of selecting a salesperson with above average sales ability and excellent potential for advancement, we need to multiply these probabilities: 
0.45 x 0.27 = 0.1215 
Therefore, the probability that a salesperson selected at random has above average sales ability and is an excellent potential for advancement is 0.1215, which is closest to choice C, 0.27.

Each Salesperson in a Large Department Store Chain Is Rated