{Estion A5 The weights of packages processed by a delivery company are normally distributed with a mean of 324 grams and a standard deviation of 20 grams. (a) Find the probability that the weight of a randomly selected package is less than 290 grams. Correct your answer to 4 decimal places. (4 marks} (b) Suppose the probability that a randomly selected package weighs more than m grams is 0.0314. Find the value of m. Correct your answer to 1 decimal place. (4 marks) (c) Suppose 4 packages are selected randomly. Find the probability that the average weight of the 4 selected packages is between 310 grams and 335 grams. Correct your answer to 4 decimal places. (4 marks} (d) Suppose the 75th percentile of the standard normal distribution is 0.6T. Find the 'i'5I11 percentile of the weights of the packages processed by the delivery company. Correct your answer to 1 decimal place. (2 marks}