SOLUTION: The mean of a normal probability distribution is 60; the standard deviation is 5. (Round your answers to 2 decimal places. Omit the % sign in your response.) (a) About what p

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Question 658744: The mean of a normal probability distribution is 60; the standard deviation is 5. (Round your answers to 2 decimal places. Omit the % sign in your response.)

(a) About what percent of the observations lie between 55 and 65?

Percentage of observations %

(b) About what percent of the observations lie between 50 and 70?

Percentage of observations %

(c) About what percent of the observations lie between 45 and 75?

Percentage of observations %

Answer by colliefan(242) About Me  (Show Source):
You can put this solution on YOUR website!
Draw a bell curve with the mean (middle of the bell) at 60.
The standard deviation is 5, so 55 is one standard deviation below the mean and 65 is one standard deviation above the mean. Look in your book and you will see that the percentage of observations within one standard deviation is 68%.
The standard deviation is 5, so 50 is two standard deviation below the mean and 70 is two standard deviation above the mean. Look in your book and you will see that the percentage of observations within two standard deviation is 95%.
The standard deviation is 5, so 45 is three standard deviation below the mean and 75 is three standard deviation above the mean. Look in your book and you will see that the percentage of observations within three standard deviation is 99%.