SOLUTION: Suppose a normal distribution has a mean of 38 and a standard deviation of 2. What is the probability that a data value is between 36 and 41? Round your answer to the nearest tenth

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Question 958766: Suppose a normal distribution has a mean of 38 and a standard deviation of 2. What is the probability that a data value is between 36 and 41? Round your answer to the nearest tenth of a percent.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the z scores.
z=%28x-mu%29%2Fsigma
z%5B1%5D=%2836-38%29%2F2=-1
z%5B2%5D=%2841-38%29%2F2=1.5
Find the corresponding proababilities,
P%5B1%5D=0.158655
P%5B2%5D=0.933193
So then,
P=P%5B2%5D-P%5B1%5D
P=0.775