The probabilities and the number of automobiles lined up at a Lakeside Olds at opening time (7:30 a.m.) for service are:
Number Probability -
10.05
20.30
30.40
40.25
On average, how many automobiles should Lakeside Olds expect to be lined up at opening?
Click on the arrows to vote for the correct answer
A. B. C. D. E.E
1*0.05 + 2*0.30 + 3*0.40 + 4*0.25 = 2.85.
To find the average number of automobiles that Lakeside Olds should expect to be lined up at opening time, we need to calculate the weighted average of the number of automobiles and their corresponding probabilities.
First, let's calculate the weighted value for each number of automobiles. We multiply each number by its corresponding probability:
10 * 0.05 = 0.5 20 * 0.30 = 6 30 * 0.40 = 12 40 * 0.25 = 10
Next, we add up the weighted values:
0.5 + 6 + 12 + 10 = 28.5
Finally, the average number of automobiles that Lakeside Olds should expect to be lined up at opening time is 28.5.
Among the given answer choices, the closest option is:
E. 2.85
However, there seems to be a decimal point error in this option, as the calculated average is 28.5, not 2.85. Therefore, none of the given answer choices accurately represents the average number of automobiles.