The following table shows the approximate numbers of school goers in the United

Question

The following table shows the approximate numbers of school goers in the United States (residents who attended some educational institution) in 1998, broken down by age group. Use the rounded midpoints of the given measurement classes to compute the probability P distribution of the age X of a school goer. (Round probabilities to two decimal places.) Compute the expected value of X, E(X). () E(X) = What information does the expected value give about residents enrolled in schools? In 1998, was years old.

Explanation / Answer

total people = 10 + 21 + 17 + 13 + 1 + 6 = 68

P(X = 5) = 10/68 = 0.15

P(X = 10) = 21/68 = 0.31

P(X = 15) = 17/68 = 0.25

P(X = 20) = 13/68 = 0.19

P(X = 25) = 1/68 = 0.01

P(X = 30) = 6/68 = 0.09

E(X) = 5 * 0.15 + 10 * 0.31 + 15 * 0.25 + 20 * 0.19 + 25 * 0.01 + 30 * 0.09

        = 14.4 (ans)

It gave the informations, that in an average the residents were 14.4 years old.

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