SOLUTION: A normal population has a mean μ =15 and standard deviation = 4. What is the probability that a randomly chosen value will be greater than 20?

Question 1103301: A normal population has a mean μ =15 and standard deviation = 4. What is the probability that a randomly chosen value will be greater than 20?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A normal population has a mean μ =15 and standard deviation = 4.
What is the probability that a randomly chosen value will be greater than 20?
----
z(20) = (20-15)/4 = 5/4
So, 20 is (5/4)th standard deviations above the mean.
------
P(x > 20) = P(z > 5/4) = normalcdf(5/4,100) = 0.1056
------
Cheers,
Stan H.
----------
RELATED QUESTIONS
Birthweights at a local hospital have a normal distribution with a mean of 110 oz. and a... (answered by stanbon)

A sample of 80 observations is selected from a normal population. The sample mean is 15,... (answered by Boreal)

Construct a 90% confidence interval for the population mean, μ. Assume the... (answered by ewatrrr)

Suppose the Q-angles (measured standing) for a population of young adult women are... (answered by ewatrrr)

Please help... 1. A population has a mean of 72 and a standard deviation of 4. In this (answered by ewatrrr)

Consider a normal population with a mean of 50 and standard deviation of 2.Find the... (answered by Boreal)

Construct a 95% confidence interval for the population mean, μ. Assume the... (answered by ewatrrr)

A population has a mean of 200 and a standard deviation of 50. Suppose a simple random... (answered by stanbon)

Assume that x has a normal distribution with the specified mean and standard deviation.... (answered by robertb)

SOLUTION: A normal population has a mean &#956; =15 and standard deviation = 4. What is the probability that a randomly chosen value will be greater than 20?

SOLUTION: A normal population has a mean μ =15 and standard deviation = 4. What is the probability that a randomly chosen value will be greater than 20?