question 5

Question 5 (Non-anonymous question () * Question 5 (a) The price-earnings ratios of a sample of stocks have a mean value of 13.5 and a standard deviation of 2. If the ratios have a bell-shaped distribution, what can we say about the proportion of ratios that fall between 11.5 and 15.5? (2 marks) (b) The distribution of heights of adult American men is approximately Normal with mean 69 inches and standard deviation 2.5 inches. What percent of men are taller than 74 inches? (3 marks) (c) The distribution of heights of adult American men is approximately Normal with mean 69 inches and standard deviation 2.5 inches. Between what heights do the middle 95% of men fall? (2 marks) (d) Suppose the mean noon-time temperature for September days in Jakarta is 24 and the standard deviation is 3.2. (Temperature in this problem is measured in degrees Celsius). Using Chebyshev's theorem, what is the minimal probability (in percent) that the noon- time temperature of a September days is between 17.6' and 30.4