SOLUTION: Let the random variable X follow a normal probability distribution with a mean 10 and a standard deviation of 2. Using the above information, find x such that P(X>x)=0.05; find

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Question 581258: Let the random variable X follow a normal probability distribution with a mean 10 and a standard deviation of 2.
Using the above information, find x such that P(X>x)=0.05; find x such that P(X What is the breakdown of this problem? Help!
Thank You!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let the random variable X follow a normal probability distribution with a mean 10 and a standard deviation of 2.
Using the above information, find x such that P(X>x)=0.05; find x such that P(X What is the breakdown of this problem? Help!
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Draw a normal curve with horizontal axis "x".
Shade a right tail area that has 5% of the area under the curve
and to the right.
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Draw a normal curve with horizontal axis "z".
Find the z-value that has a right tail of 5%
z = invNorm(0.95) = 1.6449
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Find the correspondina "x" value:
x = zs + u
x = 1.6449*2+10 = 13.2898
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Cheers,
Stan H.