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Math · Statistics And Probability
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I want answers to queston 6,7.

6. -4 points MendStat14 6.E.033 My Notes Ask Your Teacher An article in American Demographics claims that more than twice as many shoppers are out shopping on the weekends than during the week. Not only that, such shoppers also spend more money on their purchases on Saturdays and Sundays! Suppose that the amount of money spent at shopping centers between 4 p M. and 6 RM on Sundays has a normal distribution with mean $81 and with a standard deviation of $20. A shopper is randomly selected on a Sunday between 4 PM. and 6 RM and asked about his spending patterns. a) What is he probabl y that he has spent more than $86 at the mall? (Round your answer to fou decimal (b) What is the probability that he has spent between $86 and $106 at the mall? (Round your answer to four decimal places.) (c) If two shoppers are randomly selected what is the probability that both shoppers have spent more than $106 at the mall? Round your answer to four decimal places.) Need Help? Read It Talk to a Tuto 7. -4 points MendStat14 6.E.035 My Notes Ask Your Teacher Consider a binomial random variable x with n 20 and p (a) Can the normal approximation be used to approximate probabilities in this case? Why or why not? Yes, the normal approximation to the binomial probabilities can always be used. O es, because np and ng are greater than 5 O Yes, because np and ng are greater than 100. O No, because np and ng are less than 5 O No, because np and ng are less than 100. (b) what are the mean a and standard deviation a of x? (Round your answer for standard deviation to three decimal places.) (c) Using the correction for continuity, approximate P(x 8). Round your answer to four decimal places P(x 8)

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