The probabilities and the number of automobiles lined up at a Lakeside Olds at opening time (7:30 a.m. )for service are On a typical day,how many automobiles should Lakeside Olds expect to be lined up at opening?
A)10.00
B)1.00
C)2.85
D)1.96

Question

The probabilities and the number of automobiles lined up at a Lakeside Olds at opening time (7:30 a.m. )for service are  On a typical day,how many automobiles should Lakeside Olds expect to be lined up at opening?
A)10.00 
B)1.00 
C)2.85 
D)1.96

Quizplus · Accepted Answer

The expected value of a discrete probability distribution can be found by multiplying each possible outcome by its probability and summing the products.

Expected value = (0 * 0.05) + (1 * 0.15) + (2 * 0.25) + (3 * 0.30) + (4 * 0.15) + (5 * 0.10) 
Expected value = 2.85

Therefore, Lakeside Olds should expect to have about 2.85 automobiles lined up at opening time on a typical day. The best choice is C.

The Probabilities and the Number of Automobiles Lined Up at a Lakeside