Okay, so I am currently learning about normal distribution, and I don't know how to do the question that looks like this (I'll try my best to convey it, but I don't have all the right symbols on my laptop): P(X is less than or equal to 64)
The mean is 76 and the standard deviation is 6.

 Please no vague or unsure answers.
Okay, so I am currently learning about normal distribution, and I don't know how to do the question that looks like this (I'll try my best to convey it, but I don't have all the right symbols on my laptop): P(X is less than or equal to 64)
The mean is 76 and the standard deviation is 6.

 Please no vague or unsure answers.
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x = 64 is the given raw score
the first step is to convert this to a standard zscore
z = (x  mu)/sigma
z = (x  76)/6
z = (64  76)/6
z = 12/6
z = 2
so the raw score of x = 64 corresponds to the standard zscore of z = 2
z = 2 means that the raw score x = 64 is 2 standard deviations below the mean (mu = 76)
now use a table to compute P(z < 2)
a table like this is usually found in the back of your stats book
http://www.stat.ufl.edu/~athienit/Tables/Ztable.pdf
THANK YOU SO VERY MUCH!
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