Computing Normal Probabilities with a Given Z Score

1. Given that z is a standard normal random variable,
compute the following probabilities.

a. p (z =
2.0)

b. p (z ?
1.4)

c. p (-1.0
< z < 0.5)

d. p (1.0
< z < 1.2)

2. The time needed to drive from city A to city B is
normally distributed with a mean of 180 minutes and standard deviation of 20
minutes.

a. What is
the probability that a person will drive from city A to city B in three hours
or more?

b. What is
the probability that a person will drive from city A to city B in more than 140
minutes?

c. What is
the probability that a person will drive from city A to city B in exactly three
hours?

d. What is the
probability that a person will drive from city A to city B in less than 2.5
hours?

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