1.For each problem below draw a picture of the normal curve and shade the area you have to find.

Let Z represent a variable following a standard normal distribution.

a.Find the proportion that is less than z = 1.02

b.Find the proportion that is between z = 0.12 and z = 1.05

2.Calculate the probability from the z-table. a.( > 0.45)

b. ( < 2.10)

c.(0 < < 2.10)

d. (0.45 < < 2.10)

3.A normal distribution of BMCC MAT51 scores has a standard deviation of 1.5.Find the z-scores corresponding to each of the following values:

a.A score that is 3 points above the mean.

b.A score that is 1.5 points below the mean.

4.Scores on BMCC fall 2017 MAT150.5 department final exam form a normal distribution with a mean of 70 and a standard deviation of 8. What percent of the population has the following?

a.A score greater than 90

b.A score between 60 and 85

c.A score less than 60