17 7.54 M&M'S According to the M&M'S website, the average percentage of brown M&M'S candies in a pack- age of milk chocolate M&M's is 13%. (This percentage varies, however, among the different types of packaged M&M'S) Suppose you randomly select a package of milk chocolate M&M'S that contains 55 candies and determine the proportion of brown candies in the package. a. What is the approximate distribution of the sample proportion of brown candies in a package that con- tains 55 candies? b. What is the probability that the sample proportion of brown candies is less than 20%? c. What is the probability that the sample proportion exceeds 35%? d. Within what range would you expect the sample proportion to lie about 95% of the time