Answer and explain the following problems

1

Awaitress believes the distribution of her tips has a model that is slightly skewed to the left, with a mean of $8.60 and a standard deviation of $5.70. She usually waits on about 60 parties over a weekend of work. a) Estimate the probability that she will earn at least $650. b) How much does she earn on the best 1% of such weekends? a) P(tips from 60 parties > $650) = (Round to four decimal places as needed.) b) The total amount that she earns on the best 1% of such weekends is at least $EI. (Round to two decimal places as needed.) Carbon monoxide (CO) emissions for a certain kind of car vary with mean 3.953 g/mi and standard deviation 0.6 g/mi. A company has 60 of these cars in its fleet. Let y represent the mean CO level for the company's fleet. a) What's the approximate model for the distribution of y? Explain. b) Estimate the probability that y is between 4.1 and 4.3 g/mi. c) There is only a 5% chance that the fleet's mean CO level is greater than what value? a) Select the correct choice below and, if necessary, fill in the answer boxes within your choice. O A. A Poisson model with mean number of successes (Round to three decimal places as needed.) O B. A Normal model with mean and standard deviation (Round to three decimal places as needed.) O C. A Binomial model with trials and a probability of success of (Round to three decimal places as needed.) O D. There is no model that fits this distribution. b) P(4.1 )= 0.05 (Round to one decimal place as needed.)