Exhibit 5-11
A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below:
-Refer to Exhibit 5-11. The expected number of machine breakdowns per month is
A)2
B)1.70
C)one, since it has the highest probability
D)at least 4

Question

Exhibit 5-11
A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below: 
-Refer to Exhibit 5-11. The expected number of machine breakdowns per month is
A)2 
B)1.70 
C)one, since it has the highest probability 
D)at least 4

Quizplus · Accepted Answer

To find the expected number of machine breakdowns per month, we multiply each number of breakdowns by its probability and add up the results:

(0 x 0.35) + (1 x 0.40) + (2 x 0.20) + (3 x 0.05) = 0 + 0.40 + 0.40 + 0.15 = 1.70

Therefore, the best choice is B)1.70 because it is the calculated expected value. The other options are incorrect as they do not represent the expected value.

Exhibit 5-11 A Local Bottling Company Has Determined the Number of Machine