Chapter 12, Problem 14MCQ

To determine

To find :Number of Freshmen expected to make the next varsity roster.

Answer to Problem 14MCQ

  $2.875$

Explanation of Solution

Given information :

Year	Freshmen	Year	Freshmen
2000	2	2004	4
2001	2	2005	2
2002	1	2006	3
2003	5	2007	2

Calculation:

Total year = $\text{8}$

Since each year for $\text{8}$ years the probability of getting so many freshmen to make varsity is same i.e. $\frac{\text{1}}{\text{8}}$

Probability = $4\times \frac{1}{8}+2\times \frac{1}{8}+1\times \frac{1}{8}+5\times \frac{1}{8}+4\times \frac{1}{8}+2\times \frac{1}{8}+3\times \frac{1}{8}+2\times \frac{1}{8}$

  $=\frac{23}{8}=2.875$