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1) The serum cholesterol level X in 14-year-old boys has approximately a normal distribution with mean 170 and standard...

1) The serum cholesterol level X in 14-year-old boys has approximately a normal distribution with mean 170 and standard deviation 30. (a) Find the probability that the serum cholesterol level of a randomly chosen 14-year-old boy exceeds 230. (b) In a middle school there are 300 14-year-old boys. Find the probability that at least 8 boys have a serum cholesterol level that exceeds 230.

2) Suppose that the service life, in years, of a hearing aid battery is a random variable having a Weibull distribution with = 2 and β =1/2. ) (a) How long can such a battery be expected to last? (b) What is the probability that such a battery will be operating after 2 years?

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