binomial distribution
3. [-/1 Points] DETAILS BBUNDERSTAT12 5.3,008. MY NOTES ASK YOUR TEACHEI 5. [-/2.25 Points] DETAILS BBUNDERSTAT12 5.3,012.MI.S. The figures below show histograms of several binom with n = 6 trials. Match the given probability of success with the MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER best graph. The quality-control inspector of a production plant will reject a batch of syringes if two or more defective we've syringes taken from the batch. Suppose the batch contains 1% defective syringes LA USE SALT (a) Make a histogram show twelve syringes. 01234 5 6 7 8 9 30 13 12 012343 6 7 8 9 10 14 O O (a) p = 0.:30 goes with graph Select- (b) p = 0.50 goes with graph ("Select- (c) p = 0.65 goes with graph("Select- (d) p . 0.90 goes with graph [Select- el In general, when the probability of success p is close to 0.5. O symmetrical O skewed left O skewed right 012 3 4 5 6 7 8 9 10 11 12 01234 5 6 7 8 9 10 11 O O In general, when the probability of success p is close to 1, would you say that the graph is skewed to the right or to the left? What about when p is close to 0? (b) Find us. (Enter your answer to two When p is close to 1 it will be skewed right. When p is close to O it wil be skewed left. syringes When p is close to 1 it will be skewed in p is close to O it will be ske ved right The graph will be she 1 and when p is close to O. What is the expected number of defective syring syringes The graph will be she d when p is close to D. (c) What is the probability that the batch will be Need Help? Read Watch (d) Find er. (Round your answer to three decimal places.) syringes Need Help? Beast Masterit 4. [-/3.25 Points] DETAILS BBUNDERSTAT12 5.3.011.5. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER In Hawaii, January is a favorite month for surfing since 60% of the days have a surf of at least 6 feet.+ You work day shifts in a Honolulu pital emergency room. At the beginning of each month you select your days off, and you pick 6 days at random in January to go surfing. Let r be the number of days the surf is at least 6 feet. Do you tailgate the car in front of you? About 35% of all drivers will tailgate before passing, thinking they can make the car in front of them go faster. Suppose that you are driving a considerable distance on a two-lane highway and are passed by 12 vehicles. LA USE SALT LA USE SALT (a) Make a histogram of the probability distribution of . (a) Let r be the number of vehicles that tailgate before passing, Make a histogram showing the pr bility distribution of r for * 0 though / = 12. 0.25 0.20 6.20 0.15 0.10 a10 0.05 0:35 O O 0.20 0.10 ans O (b) What is the probability of getting 4 or more days when the s Places.) (c) What is the probability of getting fewer than 2 days when the surf is at lea aces.) b) Compute the expected number of vehicles out of 12 that will tailgate. d) What is the expected number of days when it vehicles days (c) Compute the standard deviation of this distribution, (Round your answer to two decimal places.) (e) what is the standard deviation of the r-probability distribution? (Round your decimal places) vehicles days Need Help? Roman (f) Can you be fairly confident that the surf will be at least 6 feet high on one of your days off? Explain. (Round your answer to three decimal places.) Select- w], because the probability of at least 1 day with surf of at least 6 feet is expected number of days when the surf will be at least 6 feet is -Select- " one
