1. An analyst believes that the price of an IBM stock is a normally distributed random variable with mean $105 and variance 24. The analyst would like to determine a value such that there is a 0.90 probability that the price of the stock will be greater than that value.11 Find the required value.
2. Weekly rates of return (on an annualized basis) for certain securities over a given period are believed to be normally distributed with mean 8.00% and variance 0.25. Give two values x1 and x2 such that you are 95% sure that annualized weekly returns will be between the two values.