I need help finding the answer to this question. thankyou. If X is a normal rand

Question

I need help finding the answer to this question. thankyou. If X is a normal random variable with standard deviation 4.00,and if the probability that X is more than 5.52 is .305, then whatis the mean of X? I need help finding the answer to this question. thankyou. If X is a normal random variable with standard deviation 4.00,and if the probability that X is more than 5.52 is .305, then whatis the mean of X?

Explanation / Answer

If X is a normalrandom variable with standard deviation 4.00, and if theprobability that X is more than 5.52 is 0.305, then what is the mean ofX? Prob{Z > w} = 0.305    ---->    w = 0.5101 ---->    ((5.52) -)/(4.0) = w = 0.5101 ---->    = (5.52) -(4.0)*(0.5101) ---->     = 3.48 .

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