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A normal population has a mean of 80.0 and a standard deviation of 14.0.

a. Compute the probability of a value between 75.0 and 90.0.
b. Compute the probability of a value 75.0 or less.
c. Compute the probability of a value between 55.0 and 70.0

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Solution Summary

A standard normal distribution table is used.

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Hello,
In order to solve this we need to use a standard normal distribution table, which can be found in most Statistics books. These tables usually give you the probability that a standard normal variable (a normally distributed variable with mean 0 and variance 1) is lower than a given number. There is also an online table at:

http://www2.sjsu.edu/faculty/gerstman/EpiInfo/z-table.htm

Now let's get to tyour problem. Let's call X the normal variable

a. We have to find Prob( 75 < X < 90). This is the same as:

Prob ...

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