1 . Find the probability of rolling a sum of 8 for the first time on the 4th roll of the dice?

2 . A data set has a distribution that is skewed left with a mean of 45 and a standard deviation of 49. I take 450 samples all of size 12 from this and find the mean of each of the 450 samples. The sampling distribution of these 450 samples each of size 12 will have what shape?

3 . There is an 8% chance any randomly chosen person will have blond hair. To test the hypothesis that Minnesota has more blonds than normal a sample of 400 people showed 123 were blond.

a) At the .01 level does Minnesota have a higher percentage of blonds than what is considered normal? (p-value = 0)

b) Find and interpret the 99% confidence interval ("lower bound is .2537")