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Our favorite deity has informed us that the true mean of x is 0 and its...

Our favorite deity has informed us that the true mean of x is 0 and its true standard deviation is 5.

How small would x have to be such that 97.5% of X's are larger? (Show work)

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Answer #1

Mean(x) = 0

standard deviation =s(x) = 5

Find x such that, P[X > x ] = 97.5% = 0.975

Also, we know that

P[ Z > -1.96 ] = 0.975

P[X > -9.8 ] = 97.5% = 0.975

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