Chapter 6.2, Problem 49E

To determine

To Calculate: the mean for S and explain it

Answer to Problem 49E

  $\mu =1557.50$

Explanation of Solution

Given:

  $\begin{array}{l}{\mu }_X=732.50\\ {\sigma }_X=103\\ {\mu }_Y=825\\ {\sigma }_Y=126.50\end{array}$

X= amount spent on tuition by a randomly selected student at the main campus

Y= amount spent on tuition by a randomly selected at the downtown campus

Calculation:

  $\begin{array}{c}\mu ={\mu }_X+{\mu }_Y\\ =732.50+825\\ =1557.50\end{array}$

There are two mean of two different random variables ${\mu }_X=732.50$ and ${\mu }_Y=825$ so the mean of the two random variable will be the sum of their means. The total amount spent on both the main campus and downtown campus will be average $15570.50