An advertiser claims that the average percentage of brown M&M'S candies in a package of milk chocolate M&M'S is 15%. Suppose you randomly select a package of milk chocolate M&M'S that contains 60 candies and determine the proportion of brown candies in the package. (The distribution is approximated by a normal distribution with mean 0.15 and standard deviation 0.0461.) (b) What is the probability that the sample percentage of brown candies is less than 24%? (Round your answer to four decimal places.)

(c) What is the probability that the sample percentage exceeds 34%? (Round your answer to four decimal places.)

(d) Within what range would you expect the sample proportion to lie about 95% of the time? (Round your answers to two decimal places.)