The Following Table Shows the Approximate Numbers of School Goers

question 20

Multiple Choice

The following table shows the approximate numbers of school goers in the U.S. (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 distribution of the age X of a school goer. (Round probabilities to two decimal places.) Hence compute the expected value of X. $$\begin{array} { c c c c c c c } \text { Age } & 3 - 6.9 & 7 - 12.9 & 13 - 16.9 & 17 - 22.9 & 23 - 26.9 & 27 - 42.9 \\\begin{array} { c } \text { Population } \\\text { (Millions) }\end{array} & 11 & 22 & 16 & 15 & 4 & 7\end{array}$$

• A) \(E ( X ) = 15.2\)
• B) \(E ( X ) = 0.99\)
• C) \(E ( X ) = 7.65\)
• D) \(E ( X ) = 12.05\)
• E) \(E ( X ) = 10.8\)

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Definitions:

Customs And Rituals

Traditional practices and ceremonial acts followed by a community or group, often rooted in cultural or religious heritage, that symbolize important values or milestones.

Cremation

The process of reducing a body to ashes by exposing it to high heat, often followed by the storage or scattering of the ashes.

Preschool Student

A child who attends an educational institution or program designed for children before they enter compulsory education.

Common Reaction

A typical or widespread response or behavior in a particular situation, often observed within a group or society.