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 = -.12 and z = 1.05

2.Calculate the probability from the z-table.

a.?(? > 2.35)

b.?(? 2.35)

c.?(? > 0.45)

d.?(? < 1.22)

e.?(? < 2.11)

f.?(0.45 < ? < 2.11)

g.?(1.67 < ? < 0)

h.?(0 < ? < 2.10)

i.?(1.05 < ? < 0.48)

j.?(1.12 < ? < 1.55)

k.?(1.55 < ? < 1.12)

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.

c.A score that is 2.25 points above 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