Normally distributed random variables outliers A normally di

(Normally distributed random variables; outliers) A normally distributed random variable X has a mean of 8 and a variance of 16. (a) What is the 9th percentile of X? (b) What are the two values of X that delineate the “92% middle pack” of this random variable? (c) Suppose you were to draw/sample one observation from this random variable. What is the probability that this observation would be a “regular” outlier coming from the right side of the distribution? (That is, a “regular” outlier that is greater than the mean of X.) (Please recall the definition of “regular” outlier that we covered in Chapter 4.)

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