7. Find each of the followingprobabilities for a normal distribution.

a. p(z > 1.00) c. p(z> 0.80)

b. p(z < -0.25) d. p(z< -1.25)

8. A normal distribution has a meanof = 60 and a standard deviation of = 20. For each of the following scores, indicatewhether the body is to the right or left of the scores and find the proportion of thedistribution located in the body.

a. X = 75 c. X = 65

b. X = 50 d. X = 30

9.Drivers pay an average of = $690 per year or auto insurance. The distributionof insurance payments is approximately normal with a standard deviation of =$110.

a. What proportion of drivers paymore than $800 per year for insurance?

b.What is the probability of randomly selecting a driver who pays less than $600per year for insurance?

10.A consumer survey indicates that the average household spends = $155 ongroceries each week. The distribution of spending amounts is approximatelynormal with a standard deviation of = $25. Based on this distribution,

a. What proportion of the populationspends more than $175 per week on groceries?

b.How much money do you need to spend on groceries each week to be in the top 20%of the distribution?

11.

The distribution of SAT scores isnormal with m= 500 and s = 100.

a. What SAT score, X value,separates the top 15% of the distribution from the rest?

b. What SAT score, X value,separated the top 55% of the distribution from the rest?