The probability that a random smoker will develop a severe lung condition during his or her lifetime is 0.3. We will choose a random sample of 8 smokers. Use Excel, Table C or the binomial probability formula to answer the following questions. a) What is the probability that exactly 3 of the smokers will develop a severe lung condition? Give your answer to three decimal places. Probability = b) What is the probability that no more than 3 will develop a severe lung condition? Give your answer to three decimal places. Probability = c) What is the probability that 4 or more will develop a severe lung condition? Give your answer to three decimal places. Probability = 2. [-/8 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The heights of male seniors in high school closely follow a normal distribution N(u,) = N(70.43, 2.73) , where the units are inches. Some students suspect that the popularity of high school seniors is related to their height. Suppose the top five nominees for Prom King at a certain high school have an average height of 71.8 inches. a) Find a 95% confidence interval for the average height of high school Prom King nominees by assuming that the standard deviation in their individual heights is the same as that of high school seniors. Give the endpoints of the interval to one decimal place. 95% confidence interval in inches: ( b) Find an 80% confidence interval for the average height of high school Prom King nominees by assuming that the standard deviation in their individual heights is the same as that of high school seniors. Give the endpoints of the interval to one decimal place. 80% confidence interval in inches: ( 3. [-/8 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose the monthly cost of housing for a UNC student is a random variable with standard deviation equal to $120 dollars, however, we don t know the mean. a) We choose 70 UNC students at random and calculate the average monthly housing cost for the group to be $750. Find a 99% confidence interval for the population mean . Give your endpoints to 2 decimal places. 99% confidence interval for monthly cost of housing: ($ b) What is the margin of error for this confidence interval? Give your answer to two decimal places. MOE = $ c) How large a sample of UNC students would we have to poll in order for our 99% margin of error to be less than $20? Your answer should be an integer. Sample size n =