SOLUTION: A distribution of values is normal with a mean of 231.6 and a standard deviation of 62.4. Find the probability that a randomly selected value is less than 312.7. P(X < 312.7)

Algebra.Com
Question 667615: A distribution of values is normal with a mean of 231.6 and a standard deviation of 62.4.
Find the probability that a randomly selected value is less than 312.7.
P(X < 312.7) =

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A distribution of values is normal with a mean of 231.6 and a standard deviation of 62.4.
Find the probability that a randomly selected value is less than 312.7.
P(X < 312.7) =
----
z(312.7) = (312.7-231.6)/62.4 = 1.3000
----
P(x < 312.7) = P(z < 1.3000) = 0.9031
================
Cheers,
Stan H.
================

RELATED QUESTIONS

A distribution of values is normal with a mean of 63.6 and a standard deviation of 14.4. (answered by Theo)
Suppose you have a normal distribution of values with a mean of 70 and a standard... (answered by mathmate)
A distribution of values is normal with a mean of 148.3 and a standard deviation of 92.3. (answered by Theo)
Some probability distributions. Here is a probability distribution for a random variable... (answered by CPhill)
let x have a normal distribution with mean of 24 and standard deviation of 6 find the... (answered by ewatrrr)
If random samples of size 9 is taken from a normal distribution with mean 50 and standard (answered by stanbon)
In a normal distribution the mean is 50 and the standard deviation is 5. Find the... (answered by reviewermath)
A normal population has a mean of 60 and a standard deviation of 3. You select a sample... (answered by Boreal)
A normal population has a mean of 60 and a standard deviation of 3. You select a sample... (answered by Boreal)