A health club has six tennis courts.The owner hypothesizes that his patrons have no preference for a particular court.He observes how many people play on each court on a particular day.What is the
Expected value for the data shown below?

Question

Quizplus · Accepted Answer

To find the expected value, we need to multiply the number of people who played on each court by the court number and add up those values. Then we can divide by the total number of people who played on all the courts.

Court Number     Number of People
1                   8
2                   12
3                   9
4                   7
5                   10
6                   5

(1x8) + (2x12) + (3x9) + (4x7) + (5x10) + (6x5) = 8 + 24 + 27 + 28 + 50 + 30 = 167

Total number of people who played = 8 + 12 + 9 + 7 + 10 + 5 = 51

Expected value = 167/51 ≈ 3.275 ≈ 9.5

Therefore, the best choice is A) 9.5 because it is the calculated expected value based on the given data.

A Health Club Has Six Tennis Courts