Given a distribution that has a mean of 37 and a standard deviation of 12, calculate the probability that a sample of 64 has sample means in the following ranges. a. greater than 35 b. at most 39 c. between 35 and 39 d. between 39 and 40 e. at most 33

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Given a distribution that has a mean of 37 and a standard deviation of 12, calculate the probability that a sample of 64 has sample means in the following ranges.
a. greater than 35
b. at most 39
c. between 35 and 39
d. between 39 and 40
e. at most 33
a. P(x> 35) =
%3D
(Round to four decimal places as needed.)
Transcribed Image Text:Given a distribution that has a mean of 37 and a standard deviation of 12, calculate the probability that a sample of 64 has sample means in the following ranges. a. greater than 35 b. at most 39 c. between 35 and 39 d. between 39 and 40 e. at most 33 a. P(x> 35) = %3D (Round to four decimal places as needed.)
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