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6. [2.66/4 Paints] PREVIOUS ANSWERS MEN DSTAT14 6.E.033. MY NOTES l | ASK YOUR TEACHER l | PRACTICE ANOTH ER 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 moriey spent at shopping centers between 4 PM. and 6 PM. on Sundays has a normal distribution with mean $82 arid with a standard deViation of $20. A shopper is randomly selected on a Sunday between 4 RM and 6 PM. and asked about his spending patterns. (a) What is the probability that he has spent more than $91 at the mall? (Round your answer to tour decimal places.) 0.3263 4 (b) What is the probability that he has spent between $91 and $111 at the mall7 (Round your answer to four decimal places.) 0.2528 4 (c) If two shoppers are randomly selected, what is the probability that both shoppers have spent more than $111 at the mail? (Round your answer to four decimal places.) 0.8639 x You may need to use the appropriate appendix table or technology to answer this question. 8. [2/4 Points] DETAILS PREVIOUS ANSWERS MENDSTAT14 6.E.039. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Let x be a binomial random variable with n = 100 and p = 0.2. Find approximations to these probabilities. (Round your answers to four decimal places.) (a ) P ( x > 22 ) = .2676 (b) P(x > 22) = .3520 (c) P(20 20] = 0.9726. (Round your answer to two decimal places.) zrx (b) Find a 20 such that P(z > 20] = 0.3897. (Round your answer to two decimal places.) zu:x You may need to use the appropriate appendix table or technology to answer this