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

Question

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

Quizplus · Accepted Answer

To find the expected value or mean of the probability distribution we need to multiply each outcome by its probability and then sum all the products. So,

Expected value = (0*0.06) + (1*0.08) + (2*0.11) + (3*0.25) + (4*0.2) + (5*0.1) + (6*0.05) + (7*0.015) + (8*0.01) + (9*0.005) + (10*0.005)

Expected value = 2.85

Therefore, Lakeside Olds should expect around 2.85 automobiles lined up at opening time on a typical day. The best choice among the given options is C.

The Probability Distribution for the Number of Automobiles Lined Up