1. Find the area under the standard normal

1. Find the area under the standard normal distribution curve:

A. between z = 0 and z = 1.77

B. between z = 0.24 and z = ?2.14

C. To the right of z = 2.01

D. To the right of z =1.92 and to the left of z=-0.44

E. To the left of z = -2.15 and to the right of z= 1.62

2. Find probabilities for each, using the standard normal distribution:

a. P (0 < z < 1.96)

b. P (z > 2.51)

c. P (1.51< z < 2.17)

3. The average annual salary for all U.S. teachers is $47,750. Assume that that distribution is normal and the standard deviation is $5680. Find the probability that a randomly selected sample of teachers earns. (Give both answers to four decimal places)

A. Between $35,000 and $45,000 a year

B. More than $40,000 a year.