SOLUTION: Assume that X has a normal distribution, and find the indicated probability. a) The mean is =15.2 and the standard deviation is =0.9 Find the probability that X is greater than

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Question 1040233: Assume that X has a normal distribution, and find the indicated probability.
a) The mean is =15.2 and the standard deviation is =0.9
Find the probability that X is greater than 16.1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the z-score.
z=%28x-mu%29%2Fsigma=%2816.1-15.2%29%2F0.9=1
So then the corresponding probability is,
P%28z=1%29=0.8413
This is the probability that z%3C=1 so use the complement,
P%28z%3E1%29=1-0.8413
P%28z%3E1%29=0.1587