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I need help finding an answer to this problem. Thankyou. If X is a normal random

ID: 2913485 • Letter: I

Question

I need help finding an answer to this problem. Thankyou. If X is a normal random variable with standard deviation 2.00,and if the probability that X is less than 4.76 is .648, then whatis the mean of X? I need help finding an answer to this problem. Thankyou. If X is a normal random variable with standard deviation 2.00,and if the probability that X is less than 4.76 is .648, then whatis the mean of X?

Explanation / Answer

If X is a normalrandom variable with standard deviation 2.00, and if theprobability that X is less than 4.76 is .648, then what is the meanof X? Prob{X < (4.76)} = 0.648    ---->    Z = 0.38   (    Z = ((x) -)/ = ((4.76) - )/(2.00) = 0.38 ---->    ((4.76) - )/(2.00) = 0.38 ---->    = (4.76) -(2.00)*(0.38) ---->    = 4.0 .
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