SOLUTION: What is the mean of a normal random variable X given that standard deviation is equal to four, and the probability that X is more than 5.52 = .305

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Question 406949: What is the mean of a normal random variable X given that standard deviation is equal to four, and the probability that X is more than 5.52 = .305
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is the mean of a normal random variable X given that standard deviation is equal to four, and the probability that X is more than 5.52 = .305
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Find the z-value with a right tail of 0.305
invNorm(0.695) = 0.5101
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Use x = zs+u to find "u":
5.52 = 0.5101*4 + u
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u = 5.52-2.0403
u = 3.4797
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Cheers,
Stan H.