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    Standard normal distribution used to compute probabilities

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    1. Given that z is a standard normal random variable, compute the following probabilities.
    a. P(-1≤z≤0)
    b. P(-1.5≤z≤0)
    c. P(-2<z<0)
    d. P(-2.5≤z≤0)
    e. P(-3≤z≤0)

    2. Given that z is a standard normal random variable, compute the following probabilities.
    a. P(0≤z≤.83)
    b. P(-1.57≤z≤0)
    c. P(z>44)
    d. P(z&#8805;-.23)
    e. P(z<1.20)
    f. P(z≤-.71)

    3. Given that z is a standard normal random variable, compute the following probabilities.
    a. P(-1.98≤z≤0)
    b. P(.52≤z≤1.22)
    c. P(-1.75≤z≤-1.04)

    4. Given that z is the standard normal random variable, find z for each situation.
    a. The area between 0 and z is .4750b. The area between 0 and z is .2291
    c. The area to the right of z is .1314
    d. The area to the left of z is.6700

    5. Given that z is a standard normal random variable, find z for each situation.
    a. The area to the left of z is.2119
    b. The area between -z and z is .9030
    c. The area between -z and z is .2050
    d. The area to the left of z is .9948
    e. The area to the right of z is.6915

    6. Given that z is a standard normal random variable, find z for each situation.
    a. The area to the right of z is. 01
    b. The area to the right of z is .025
    c. The area to the right of z is.05
    d. The area to the right of z is .10

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    https://brainmass.com/statistics/normal-distribution/standard-normal-distribution-used-to-compute-probabilities-125693

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    Solution Summary

    The solution computes probabilities given a standard normal random variable.

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