You are selling hot dogs in Central Park for 100 days. Hot dog sales are of course dependent on weather. Suppose that for any particular day, the weather is either rainy or sunny; on average, one-third of the days are rainy and two-thirds of the days are sunny. Compute the expected number of sunny days for the 10 days, and the probability of there being more rainy days than sunny days. You may assume that the weather is independent between days.