Roth is a computer-consulting firm. The number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below. The expected number of new clients per month is
A) 6.
B) 0.
C) 3.1.
D) 3.

Question

Roth is a computer-consulting firm. The number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below.  ​ The expected number of new clients per month is
A) 6. 
B) 0. 
C) 3.1. 
D) 3.

Quizplus · Accepted Answer

To find the expected number of new clients per month, we multiply each possible number of clients by its probability and then sum the products. 
Expected value = (0)(0.22) + (1)(0.24) + (2)(0.17) + (3)(0.14) + (4)(0.12) + (5)(0.07) + (6)(0.04) 
Expected value = 3.1 
Therefore, the answer is choice C.

Roth Is a Computer-Consulting Firm