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Math Help - Normal Probabilty Distrubtion

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    Normal Probabilty Distrubtion

    Assume that the salaries of elementary school teachers in the United States are normally distrubted with a mean of 36,000 and a standard deviation of 5000. what is the cutoff salary for teachers in the top 10%

    and a second problem:

    Assume that the heights of men are normally distributed with a mean of 68..0 inchea and a standard deviation of 3.5 inches. If 100 men are randomly selected, find the probability that they have a mean height greater than 69 inches
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    Quote Originally Posted by ChrisFree55 View Post
    Assume that the salaries of elementary school teachers in the United States are normally distrubted with a mean of 36,000 and a standard deviation of 5000. what is the cutoff salary for teachers in the top 10%
    Here's a thought for the first one.

    \displaystyle P\left(Z<\frac{X-36000}{5000}\right)= 0.9

    solve for \displaystyle X
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