SOLUTION: The scores received by students completing a geology exam are normally distributed. If the average score is 122 and the standard deviation is 35, what percentage of students scored

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Question 975544: The scores received by students completing a geology exam are normally distributed. If the average score is 122 and the standard deviation is 35, what percentage of students scored between 52 and 122?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the z scores.
z%5B1%5D=%2852-122%29%2F35=-2
z%5B2%5D=%28122-122%29%2F35=0
and the corresponding probabilities,
P%28z%5B1%5D%29=0.02275
P%28z%5B2%5D%29=0.5
So,
P=P%28z%5B2%5D%29-P%28z%5B1%5D%29
P=0.5-0.02275
P=0.4772
47.7%