SOLUTION: a set of normally distributed student test scores has a mean of 80 and a standard deviation of 4. determine the probability that a random selected score will be between 74 and 82.

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Question 311278: a set of normally distributed student test scores has a mean of 80 and a standard deviation of 4. determine the probability that a random selected score will be between 74 and 82.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the zscore for 74 and 82.
z=%28x-xa%29%2Fsigma
z%2874%29=%2874-80%29%2F4=-1.5
z%2882%29=%2882-80%29%2F4=0.5
P%2874%29=0.066807
P%2882%29=0.691462
P(74 < x < 82)=P%2882%29-P%2874%29=0.624655