SOLUTION: A statistics quiz was normally distributed when a mean quiz score of 45 and standard deviation of 15. A) what is the probability you scored above a 90? B) what is the probabil

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Question 920088: A statistics quiz was normally distributed when a mean quiz score of 45 and standard deviation of 15.
A) what is the probability you scored above a 90?
B) what is the probability that you scored between a 30 and a 75?
Given the same information above,
A) what is probability of getting 82?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
mean = 45 and standard deviation of 15.
z+=+blue%28x+-+mu%29%2Fblue%28sigma%29
A) P(x > 90) = P(z > 3) = normalcdf(3,100)
.........
B) P(x<30) = P(z < -1) and P(x < 75) = P(z < 2)
P (30 < x < 75) = normalcdf(-1,2)
.........
A) P(x = 82) = P(81.95 < x < 82.05) = P(36.95/15 < z < 37.05/15 ) = normal(2.46, 2.47)