Question

U . 2. Complete the below by hand using formula wherever possible. You cannot use excel. The center for Disease control and Prevention say about 18% of high-school students smoke tobacco (down from a 38% in 1997). Suppose you randomly select high school students to survey them on their attitudes toward scenes of smoking in the movies. Use the correct notation, explain your steps and write a complete sentence with your answer a) Is the use of the binomial distribution appropriate for calculating the probability that exactly six smoked among 10 students? Be sure to state all the rules discussed in class using words like mutually exclusive/OR, independent/AND, random variable to get full points. All variables need to be explained with proper symbols. ...Cheat on Ch#3 Math 243Page 1 b) Find the probability there are exactly 6 smokers among the 10 people that you choose? n=10 -0.18 1.p=0.82x 6 Now apply the formula to find the Binomial probability c) Find the probability that none of the 10 students you interview is a smoker? d) What is the probability that at least one of the 10 students you interview is a smoker? e) How many people would you expect to have smoked tobacco? And with what standard deviation? Write your answer in the concise notation. 1. Thirty-nine percent of US adults think that the government should help fight childhood obesity. Suppose we take a random sample of 6 US adults. Is the use of the binomial distribution appropriate for calculating the probability that exactly 5 adults do not think that the government should help fight childhood obesity? Be sure to state all the rules discussed in class using words like mutually exclusive/OR. Independent/AND, random variable to get full points. N W What is the probability that exactly 0,1,2,3,4,5,6 out of a new sample of 6 U.S adults do not think that the government should help fight childhood obesity? IP(X) 2 | 3 | probabilities - 1 Answer the following questions based on the table constructed: a. Graph the probabilities in a bar graph. What is the shape of the graph? Why do you think you see that shape? b. What is the probability that at least 1 out of 6 randomly sampled American adults think that government should not help fight childhood obesity? c. What is the probability that at most 2 out of 6 randomly sampled American adults think that government should not help fight childhood obesity? d. What is the probability that at least 2 out of 6 randomly sampled American adults think that government should not help fight childhood obesity? e. How many adults would you expect to think that the government should help fight childhood obesity for a random sample of 6 adults? And with what standard deviation?