2. [-/0.38 Points] DETAILS BBUNDERSTAT12 6.6.002. MY NOTES ASK YOUR TEACHER When we use a normal distribution to approximate a binomial distribution, why do we make a continuity correction? We make a continuity correction when p is > 0.5. The binomial distribution is for discrete random variables, whereas the normal distribution is for continuous random variables. The binomial distribution is for continuous random variables, whereas the normal distribution is for discrete random variables. The normal approximation gives us a very poor result without the continuity correction. Need Help? Read !! 3. [-/0.38 Points] DETAILS BBUNDERSTAT12 6.6.006.MI.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider a binomial experiment with 20 trials and probability 0.55 of success on a single trial. LA USE SALT (a) Use the binomial distribution to find the probability of exactly 10 successes. (Round your answer to three decimal places.) (b) Use the normal distribution to approximate the probability of exactly 10 successes. (Round your answer to four decimal places.) (c) Compare the results of parts (a) and (b). These results are almost exactly the same. These results are fairly different. Need Help? Read It Master It 4. [-/0.38 Points] DETAILS BBUNDERSTAT12 6.6.008.5. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities. Do you try to pad an insurance claim to cover your deductible? About 36% of all U.S. adults will try to pad their insurance claims! Suppose that you are the director of an insurance adjustment office. Your office has just received 138 insurance claims to be processed in the next few days. Find the following probabilities. (Round your answers to four decimal places.) LA USE SALT (a) half or more of the claims have been padded (b) fewer than 45 of the claims have been padded (c) from 40 to 64 of the claims have been padded (d) more than 80 of the claims have not been padded Need Help? Read it Watch It MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 5. [-/0.38 Points] DETAILS BBUNDERSTAT12 6.6.009.MI.S. MacBook Air