A medical treatment has success rate of 0.8 two patient will be treated with this treatment, assuming the results are independent. For the two patients what is the probability that neither one of them will be successfully cured O 0.36 O 0.04 O None O 0.64
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- Testing for a disease can be made more efficient by combining samples. If the samples from two people are combined and the mixture tests negative, then bothsamples are negative. On the other hand, one positive sample will always test positive, no matter how many negative samples it is mixed with. Assuming the probability of a single sample testing positive is 0.1,find the probability of a positive result for two samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely necessary? (Round to three decimal places as needed.) Is the probability low enough so that further testing of the individual samples is rarely necessary? A. The probability is low, so further testing will be necessary for all of the combined mixtures. B. The probability is low, so further testing of the individual samples will be a rarely necessary event. C. The probability is not low, so further…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 placesA 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?
- 46 employees in an office wear eyeglasses. 34 have single-vision correction, and 12 wear bifocals. If two employees are selected at random from this group, what is the probability that both of them wear bifocals? What is the probability that both have single-vision correction? Round your answers to four decimal places. P(both employees wear bifocals)= i 0.1304 P(both employees have single-vision correction)= i 0.3736Solve question 3 all parts and show steps for the required parts. Please and thank you.Dave catches a bus to school. If he catches the 7am bus, then he will arive at school on time with probability 0.95. If he misses the 7am bus, then he will arrive on time at school with probability 0.1. Suppose the probability of him catching the 7am bus is 18. 0.8. Find the probability that he will arrive on time at school. If he arrived on time at school today, what is the probability that he caught the a. b. 7am bus?
- According to recent reports, currently 39% of the population of NC (adults and children) has been fully vaccinated against Covid. Suppose of random sample of 400 individuals from the population of NC is selected. Let x represent the number in the sample who are fully vaccinated. d. Find the probability that 130 or fewer in the sample have been fully vaccinated. Round to 4 decimal places. Would this result be unusual? Explain.Q. 1 It is estimated that 80% of emails are spam emails. Some software has been applied to filter these spam emails before they reach our inbox. A certain brand of software claims that it can detect 99% of spam emails, and the probability for a false positive (a non-spam email detected as spam) is 5%. Now if an email is detected as spam, then what is the probability that it is in fact a non-spam email? event A: email is spam; event B: email is detected as spam. Assume thatDo question 2
- Thank you. I'm not sure about the result for the second question. What I'm having a hard time with is the probability that a total of 30 of the 546 crashes have occurred in the 48 time windows. My data shows that crashes occurred in 25 of these 48 time windows, with 3 in one of these and 2 in three others.QUESTION 3 At a particular garage 20% of the cars that arrive for repair have engine trouble. Upon arrival at the garage an engine diagnostic test is carried out on the car, but this engine diagnostic test is far from perfect. If the car has engine trouble the diagnostic test will turn out positive with a probability of 0.9. If the car does not have engine trouble, the diagnostic test will turn out positive with a probability of 0.05. For each of the questions below explain your answer i.e. show your reasoning. Q 3(d) If 10 cars arrive to the garage on a particular day, what is the probability that: (i) (ii) none of the cars will have engine trouble. the first car with engine trouble that arrives to the garage that day will be the 4th car.