binomial probabilities
5:58 00 @ 5:59 00 @ 6. [-/2.5 Points] DETAILS BBUNDERSTAT12 5.2.016.MI.5. X 5.2 Hmwk - Binomial P... MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER webassign.net Richard has just been given a 4-question multiple-choice quiz in his history class. Each question has five answers, of which only one is correct. Since Richard has not attended class recently, he doesn't know any of the answers. Assuming that Richard guesses on all four questions, find the indicated probabilities. (Round your answers to three decimal places.) DETAILS LA USE SALT 8. [-/2 Points] BBUNDERSTAT12 5.2.019.MI.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER a) What is the probability that he will answer all questions correctly? Sociologists say that 95% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that six married women are having coffee together one morning Find the 6) What is the probability that he will answer all questions incorrectly? following probabilities. (Round your answers to three decimal places.) LO USE SALT ey What is the probability that he will answer at least one of the questions correctly? Compute this probability two ways. First, use the rule for mutually exclusive events and the probabilities shown in the binomial probability distribution table. (a) All of them dislike their mother-in-law. Then use the fact that P(r = 1) = 1 - P(r - 0). (b) None of them dislike their mother-in-law. Compare the two results. Should they be equal? Are they equal? If not, how do you account for the difference? (c) At least four of them dislike their mother-in-law. They show They should be equal, but may not be due to table error. d) No more than three of them dislike their mother-in-law. They should by differ slightly due to rounding error. They should be equal, but di r substantially Need Help? Read it Watch It Master It ( What is the probability that Richard will answer at least half the questions correctly? Need Help? Read It Master It 9. [-/3 Points] DETAILS BBUNDERSTAT12 5.2.022.MI.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Trevor is interested in purchasing the local hardware/sporting goods store in the small town of Dove Creek, Montana. After examining accounting records for the past several years, he found that the store has been grossing over $850 per day about 65% of the business 7. [-/3 Points] DETAILS BBUNDERSTAT12 5.2.017.MI.S. days it is open. Estimate the probability that the store will gross over $850 for the following. (Round your answers to three decimal places ) MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER LA USE SALT Before 1918, approximately 55's of the wolves in a region were male, and 45% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 70% of wolves in the region are male, and 30% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been (a) at least 3 out of 5 business days greatly reduced (Round your answers to three decimal places.) In USE SALT (b) at least 6 out of 10 business days a) Before 1918, in a random sample of 12 wolves spotted in the region, what is the probability that 9 or more were male? (c) fewer than 5 out of 10 business days What is the probability that 9 or more were fo () fewer than 6 out of the next 20 business days What is the probability that fewer than 6 were female? If the outcome described in part (d) actually occurred, might it shake your confidence in the statement p = 065? Might it make (b) For the period from 1918 to the present, in a random sample of 12 wolves spotted in the region, what is the probability that 9 you suspect that o is less than 0.65? Explain. or more were male? Yes. This is unlikely to happen if the true value of p is 0.65 Yes. This is likely to happen if the true value of a is 0.65. What is the probability that 9 or more were female? No. This is unlikely to happen if the true value of pis 0.65 No. This is likely to happen if the true value of p is 0.65. What is the probability that fewer than 6 were female? (e) more than 17 out of the next 20 business days Need Help? Read it Watch It Master If the outcome described in part (e] actually occurred, might you suspect that p is greater than 0.65? Explain. Yes. This is unlikely to happen if the true value of p is 0.65. Yes. This is like value of p is 0.65. No. This is unlikely to happ if the true value of p is 0.65 8. [-/2 Points] DETAILS BBUNDERSTAT12 5.2.019.MI.S. No. This is likely to happen if the true value of p is 0.65. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Need Help? Read It Master It Sociologists say that 95% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that six married women are having coffee together one moming. Find the
