SOLUTION: Suppose that a family has five children, consisting of three girls and two boys. Call the girls Abigail, Brianna, and Courtney; call the boys Duane and Evan. Suppose further that t

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose that a family has five children, consisting of three girls and two boys. Call the girls Abigail, Brianna, and Courtney; call the boys Duane and Evan. Suppose further that t      Log On


   

Question 926821: Suppose that a family has five children, consisting of three girls and two boys. Call the girls Abigail, Brianna, and Courtney; call the boys Duane and Evan. Suppose further that two of these children are to be selected at random.
4. Write a sentence or two interpreting what this expected value means in this context.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

two chosen...

expected value is the SUM of nP(n) where n is 0,1,2

.....

for example

five children: 3G, 2B

Determine the expected value of the number of girls who will be selected

.........

n  P(n)

0  1/10    P(both boys) = %282%2F5%29%281%2F4%29

1  3/5     P(one girl) = %283%2F5%29%282%2F4%29+%2B+%282%2F5%29%283%2F4%29+=+12%2F20

2  3/10    P(two girls) = %283%2F5%29%282%2F4%29+=+6%2F20

    1

......

Exp = 0(1/10) + 1(3/5) + 2(3/10) = 6/10 + 6/10 = 12/10) = 1.2  0r 1 girl