(Part A)

Women's shoes sizes are normally distributed with=8 and =18 if I select one woman, find the probability that her shoe size is :

a) above 10

b) between 7.5 and 9.5

c) What shoe size corresponds to the largest 10 % of feet ?

d) if I now select 15 women what is the probability that their average shoes size is below a 7?

e) Mary's shoe size is a 5. Is it unusually small? Why ?

( Part B)

You play a game where you spin a wheel of 10 numbers . if you land on a 7 you win $12 it cost $2 to play. Construct a probability distribution for your winnings and find your expected winnings .

Answer Key

(Part A)

a._________

b._________

c._________

d._________

e.__________

Part B

X	P(x)

E(x)=_____________