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Let X be normally distributed with the mean μ = 50 and some unknown standard deviation...

Let X be normally distributed with the mean μ = 50 and some unknown standard deviation σ. The variable Z = X − A σ is distributed according to the standard normal distribution. Enter the value for A =  . It is known that P ( 44 < X < 56 ) = 0.4. What is P ( − 6 σ < Z < 6 σ ) =  (enter decimal value). What is P ( Z < 6 σ ) =  (as a decimal). Use this result to determine σ =  (round to the second decimal place).

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