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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?

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    Answers
    a. p (z = 2.0)
    P (Z = 2.0) = 0, since for a continuous random ...

    Solution Summary

    The solution provides a step by step method for the calculation of probability using a given Z score. The formula for the calculation and interpretations of the results are also included.

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