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- If you play roulettes and bet on 'red' the probability that you win is 18/38 = .4737. People often repeat this between several times. We can consider each time we play a 'trial' and consider it a success when we win, so p = 18/38 or (.4737) and q = 20/38 or (.5263). Suppose that Caryl always places the same bet when she plays roulette, $5 on 'red'. Caryl might play just once, or might play several times. She has a profit (having won $5 more times than she lost $5) if she wins more than half of the games she plays. -when you play 401 times, p is the proportion of those 401 games that you win. You'll profit (winning more than you lose) if you win more than half of your bets p > .5000. c) what is the mean or expected value of p? d) what is the standard deviation of p? e) assume that the distribution of p is Normal and find the probability that Caryl will have a profit if she plays 401 times. show your work or calculator input and round your answer to four decimal placesThe state medical school has discovered a new test for tuberculosis. (If the test indicates a person has tuberculosis, the test is positive.) Experimentation has shown that the probability of a positive test is 0.77, given that a person has tuberculosis. The probability is 0.09 that the test registers positive, given that the person does not have tuberculosis. Assume that in the general population, the probability that a person has tuberculosis is 0.04. What is the probability that a person chosen at random will fall in the following categories? (Enter your answers to four decimal places.) have tuberculosis and have a positive testnot have tuberculosisnot have tuberculosis and have a positive testA new medical test has been designed to detect the presence of a certain disease. Among those who have the disease, the probability that the disease will be detected by the new test is 0.74. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.04. It is estimated that 14 % of the population who take this test have the disease.If the test administered to an individual is positive, what is the probability that the person actually has the disease?
- When snow and rainfall occur together, it is known as sleet. On any given day the probability that it rains is 0.6, the probability that it snows is 0.5 and the probability that it rains and snows is 0.20. Calculate the probabilty that it rains or it snows.1% of all products in a factory are defective. During quality control, a test is applied that detects a defective product with a probability of 0.99, and in 1% of cases it incorrectly rejects a correct product. Find the probability that the product that is rejected is actually correct, as well as the probability that the product that is accepted in the test as correct is in fact defective.If you play roulettes and bet on 'red' the probability that you win is 18/38 = .4737. People often repeat this between several times. We can consider each time we play a 'trial' and consider it a success when we win, so p = 18/38 or (.4737) and q = 20/38 or (.5263). Suppose that Caryl always places the same bet when she plays roulette, $5 on 'red'. Caryl might play just once, or might play several times. She has a profit (having won $5 more times than she lost $5) if she wins more than half of the games she plays. a) what is the probability that Caryl has a profit if she plays only one time? b) suppose Caryl has decided that she is going to play 13 times. to find the probability that has a profit, we can treat this like a binomial. Show the calculator input and result as your calculator to find the probability that she makes a profit when she plays 13 times.
- Johnny plans to go biking or hiking over the weekend. The probability that he does at least one of these is 0.70 while the probability that he does both is only 0.50. If Johnny is equally likely to go biking as to go hiking, what is the probability that he goes biking but not hiking?If you play roulettes and bet on 'red' the probability that you win is 18/38 = .4737. People often repeat this between several times. We can consider each time we play a 'trial' and consider it a success when we win, so p = 18/38 or (.4737) and q = 20/38 or (.5263). Suppose that Caryl always places the same bet when she plays roulette, $5 on 'red'. Caryl might play just once, or might play several times. She has a profit (having won $5 more times than she lost $5) if she wins more than half of the games she plays. -when you play 401 times, p is the proportion of those 401 games that you win. You'll profit (winning more than you lose) if you win more than half of your bets p > .5000. e) assume that the distribution of p is Normal and find the probability that Caryl will have a profit if she plays 401 times. show your work or calculator input and round your answer to four decimal places f) twenty years ago, we didnt have the computing power in our hands to easily find the…Suppose that the prevalence of diabetes in the U.S. is 10% and that the prevalence of cardiovascular disease is 20%. Suppose also that 5% of people in the U.S. have both diabetes and cardiovascular disease. Suppose Jack has diabetes. What is the probability that he also has cardiovascular disease?
