a (b) 4.6 Triathlon times, Part II. In Exercise 4.4 we saw two distributions for triathlon times: N( = 4313, = 583) for Men, Ages 30 - 34 and N( = 5261, = 807) for the Women, Ages 25-29 group. Times are listed in seconds. Use this information to compute each of the following: (a) The cutoff time for the fastest 5% of athletes in the men's group, i.e. those who took the shortest 5% of time to finish. (b) The cutoff time for the slowest 10% of athletes in the women's group. (a) (b) 4.8 CAPM. The Capital Asset Pricing Model (CAPM) is a financial model that assumes returns on a portfolio are normally distributed. Suppose a portfolio has an average annual return of 14.7% (i.e. an average gain of 14.7%) with a standard deviation of 33%. A return of 0% means the value of the portfolio doesn't change, a negative return means that the portfolio loses money, and a positive return means that the portfolio gains money. (a) What percent of years does this portfolio lose money, i.e. have a return less than 0%? (b) What is the cutoff for the highest 15% of annual returns with this portfolio? 4.10 Find the SD. Cholesterol levels for women aged 20 to 34 follow an approximately normal distribution with mean 185 milligrams per deciliter (mg/dl). Women with cholesterol levels above 220 mg/dl are con- sidered to have high cholesterol and about 18.5% of women fall into this category. What is the standard deviation of the distribution of cholesterol levels for women aged 20 to 34?