SOLUTION: Let X be a random variable with X = N(200, 10^2). If you take a sample of size n = 10, what is the probability that the sample mean is greater than 220?

Algebra ->  Probability-and-statistics -> SOLUTION: Let X be a random variable with X = N(200, 10^2). If you take a sample of size n = 10, what is the probability that the sample mean is greater than 220?      Log On


   



Question 1180133: Let X be a random variable with X = N(200, 10^2).
If you take a sample of size n = 10,
what is the probability that the sample mean is greater than 220?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
the sd is 10, the sqrt (V)
z=(220-200)/10/sqrt(10)
=20*sqrt(10)/10
=6.32
the probability is essentially 0 (1 x 10^(-10))