SOLUTION: The mean of a normal probability distribution is 60, the standard deviation is 5. About what percent of the observations lie between 55 and 65? About what percent of the observ

Question 1035691: The mean of a normal probability distribution is 60, the standard deviation is 5.
About what percent of the observations lie between 55 and 65?
About what percent of the observations lie between 50 and 70?
About what percent of the observations lie between 45 and 75?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
55 to 65 are 1 standard deviation from the mean 60, and hence by the empirical rule, around 68% of all observations lie bet ween 55 and 65.

50 to 70 are 2 standard deviations from the mean 60, and hence by the empirical rule, around 95% of all observations lie bet ween 50 and 70.

45 to 75 are 3 standard deviations from the mean 60, and hence by the empirical rule, around 99.7% of all observations lie bet ween 45 and 75.
RELATED QUESTIONS
8. The mean of a normal probability distribution is 60; the standard deviation is 5. a. (answered by Theo)

The mean of a normal probability distribution is 60; the standard deviation is 5. (Round... (answered by colliefan)

The mean of a normal probability distribution is 80; the standard deviation is 6. About (answered by Boreal)

he mean of a normal probability distribution is 540; the standard deviation is 95.(Round... (answered by stanbon)

The mean of a normal probability distribution is 615; the standard deviation is 17.... (answered by Edwin McCravy)

Please solve this equation: The mean of a normal probability distribution is 300; the... (answered by math_tutor2020)

(Can someone please help me with this question I'm stuck on?) The mean of a normal... (answered by ewatrrr)

A normal distribution of mean 5 and standard deviation 3. What is the probability that... (answered by stanbon)

A normal distribution has a standard deviation equal to 10. What is the mean of this... (answered by Theo)