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# Computing Normal Probabilities with a Given Z Score

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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?

https://brainmass.com/statistics/probability/computing-normal-probabilities-zscore-589194

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