Question: 4.A normally distributed random variable has a mean of 40 and a standard deviation 5. a) What is the probability that a randomly selected value

4.A normally distributed random variable has a mean of 40 and a standard deviation 5.

a) What is the probability that a randomly selected value is greater than 46?

b) If you are now told that the variable is symmetric, however not normally distributed, is your answer from part a) still valid? Briefly explain.

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