A random sample of size n = 40 is selected from a binomial distribution with population proportion p = 0.25. (a) What will be the approximate shape of the sampling distribution of .6? O skewed to the right normal 0 skewed to the left 7 (b) What will be the mean and standard deviation (or standard error) of the sampling distribution of'l? (Round your answers to Four decimal places.) standard deviation S (c) Find the probability that the sample proportion is between 0.15 and 0.48. (Round your answer to four decimal places.) :l You may need to use the appropriate appendix table or technology to answer this question. According to the M&M website, the average percentage of brown MaxiVi candies in a package of milk chocolate M&Ms is 13%. (This percentage varies, however, among the different types of packaged M&Ms.) Suppose you randomly select a package of milk chocolate M&Ms 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 contains 55 candies? O The distribution is apprOXimated by a normal distribution with mean 0.13 and standard deviation 0.87. O The distribution is binomial and cannot be approximated. O The distribution is apprOXimated by a normal distribution with mean 7.2 and standard deViation 715. O The distribution is approximated by a normal distribution with mean 13 and standard deviation 0.0453. 0 The distribution is apprOXimated by a normal distribution with mean 0.13 and standard deviation 0.0453. (b) What is the probability that the sample proportion of brown candies is less than 24%? (Round your answer to four deCimai places.) E (c) What is the probability that the sampie proportion exceeds 34%? (Round your answer to four decimal places.) E (d) Within what range would you expect the sample proportion to lie about 95% of the time7 (Round your answers to two decimal places.)