Suppose x has a distribution with a mean of 80 and a standard deviation of 45. Random samples of size n = 3 are drawn. (a) Compute the mean and standard deviation of the distribution. x has an...


Supposex
has a distribution with a mean of 80 and a standard deviation of 45. Random samples of size n = 3 are drawn.


(a)  Compute the mean and standard deviation of the distribution.


x
has an approximately normal with

mean μx =

and
standard deviation σx =  .



(b) Find thez value corresponding to
x = 95.



z =




(c) Find
P(x <>

(Round your answer to four decimal places.)

P(x < 95)>



Jun 10, 2022
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