1. The proportion of adults in Canada who are women in approximately 51%. A marketing survey company telephones 400 adults at random. a) What proportion of the sample of 400 would you expect to be women? b} What wouid the standard deviation of the sampling distribution be? cl How many women, on average. would you expect to nd in a sample of that size? 2. A waiter believes the distribution of his tips has a model that is slightly skewed to the right, with a mean of $9.60 and a standard deviation of $5.40. al Explain why you cannot determine the probability that a given party will tip him at most 520. b} Can you estimate the probability that the next 4 parties will tip an average of at most $20? Explain cl Is it likely that his 10 parties today will tip an average of at most 515? Explain 3. A grocery store's receipts show that Sunday customer purchases have a skewed distribution with a mean of $30 and a standard deviation of 5201 al Explain why you cannot determine the probability that the next Sunday customer will spend at least 40? b} Can you estimate the probability that the next 10 Sunday customers will spend an average of at least $40? Explain cl Is it likely that the next 50 Sunday customers will spend an average of at least $40? Explain