An advertiser claims that the average percentage of brown MM

An advertiser claims that the average percentage of brown M&M\'S candies in a package of milk chocolate M&M\'S is 13%. Suppose you randomly select a package of milk chocolate M&M\'S that contains 54 candies and determine the proportion of brown candies in the package.

(b) What is the probability that the sample percentage of brown candies is less than 25%? (Round your answer to four decimal places.)


(c) What is the probability that the sample percentage exceeds 35%? (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.)

Solution