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“FunBakery” is a bakery shop that customers can use the facilities to bake cakes. According to the record, the duration a customer spends in the shop follows a normal distribution with mean 140 minutes and standard deviation 18 minutes. (a) What is the probability that a customer stays in the shop for more than 3 hours? (b) There are 15% of all customers would stay in the shop for less than t minutes. Find the value of t. Round up the answer to the next integer. The charge in “FunBakery” is $100 for the first hour and then $1.1 per extra minute. (c) Find the average, median and standard deviation of the amount of money a customer spends in the shop. (d) For a customer stays in the shop for 3 hours, how much he / she needs to pay? (e) There are 15% of all customers would pay less than $k. Find the value of k by using your answer in part (b). (f) Write a simple summary about the spending of a customer in “FunBakery”.
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