Tuesday, July 28, 2009

Let Z be a standard normal random variable. Use the calculator provided to determine the value of such that?

Let Z be a standard normal random variable. Use the calculator provided to determine the value of such that





P( -c %26lt; Z %26lt; c)= 0.9439


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Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places.

Let Z be a standard normal random variable. Use the calculator provided to determine the value of such that?
P( -c %26lt; Z %26lt; c ) = P( Z %26lt; c ) - P (Z %26lt; -c ) = P( Z %26lt; c) - [ 1- P( Z %26lt; c ) ] (due to symmetry)





= 2 P( Z %26lt; c ) - 1 = 0.9439





P( Z %26lt; c ) = 1.9439 / 2 = 0.97195





c = inverse of standard normal distribution at 0.97195 = 1.910258.


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