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If x is normally distributed with mean and standard

If x is normally distributed with mean μ and standard deviation σ=4, and given that the probability that x is less than 32 is 0.0228.

a) Find the value of μ.

b) What is the probability that x is greater than 43?

c) What is the probability that x is between 35 and 45?

d) What is the x value so that only 4.01% of all possible outcomes exceeds that value.

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