Question B3 Sales records of a supermarket show that the expenditures of customers during each visit...

 

Transcribed Image Text:

Question B3 Sales records of a supermarket show that the expenditures of customers during each visit at the supermarket are normally distributed with a mean of $112 and a standard deviation of $36. (a) Find the probability that the expenditure of a randomly selected customer is over $100 during that visit at the supermarket. (Correct your final answer to 4 decimal places) (2 marks) (b) If 87.7% of customers spent over $K during each visit at the supermarket, find the value of SK. (Correct your final answer to an integer) (2 marks) (e) Find the value of Q, (third quartile) of the expenditures of customers during each visit at the supermarket (Correct your final answer to an integer) (2 marks) (d) Suppose 9 customers in the supermarket are randomly selected. (Correct your final answers to 4 decimal places) (i) (ii) Find the probability that exactly 2 of the selected customers spent over $100 during that visit at the supermarket. (2 marks) If it is known that at least 6 of the selected customers spent less than or equals $100 during that visit at the supermarket, find the the probability that at most 2 of the selected customers spent over $100 during that visit at the supermarket. (4 marks) Question B3 Sales records of a supermarket show that the expenditures of customers during each visit at the supermarket are normally distributed with a mean of $112 and a standard deviation of $36. (a) Find the probability that the expenditure of a randomly selected customer is over $100 during that visit at the supermarket. (Correct your final answer to 4 decimal places) (2 marks) (b) If 87.7% of customers spent over $K during each visit at the supermarket, find the value of SK. (Correct your final answer to an integer) (2 marks) (e) Find the value of Q, (third quartile) of the expenditures of customers during each visit at the supermarket (Correct your final answer to an integer) (2 marks) (d) Suppose 9 customers in the supermarket are randomly selected. (Correct your final answers to 4 decimal places) (i) (ii) Find the probability that exactly 2 of the selected customers spent over $100 during that visit at the supermarket. (2 marks) If it is known that at least 6 of the selected customers spent less than or equals $100 during that visit at the supermarket, find the the probability that at most 2 of the selected customers spent over $100 during that visit at the supermarket. (4 marks)

Answer rating: 100% (QA)

Part a Probability that the expenditure of a randomly selected customer during o... View the full answer