A set of k coupons, each of which is independently a type j coupon with probability pj, E=1 Pi = 1, is collected. Find the probability that the set contains a type j coupon given that it contains a type i, i # j.
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- Suppose that in a certain large population, the proportion of people that have blood type O is 0.33. If 7 people are randomly and independently selected from this population, what is the probability that no more than one has blood type O? (Give your response to at least 3 decimal places. Give only your numeric response, and not any extra characters or symbols.) Your Answer:A study of the incoming freshman class at a university found that 60% of the students had taken AP Calculus in high school, 55% had taken AP English in high school, and 20% had taken both AP Calculus and AP English. One incoming freshman is randomly selected from the population of incoming freshman. Let: C = the selected student took AP Calculus E = the selected student took AP English What is the probability that the selected incoming freshman took AP English or AP Calculus, i.e. P( C or E)? 0.15 O 0.75 0.80 0.05 0.95Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx
- Find values of n, x, p and q. DO NOT SOLVE based on American Chemicsl Society, there is a 0.9 probability that in the United States, a randomly selected dollar bill is tainted with traces of cocaine. Assume 8 dollar bills are randomly selected. Find the probability that at least 5 of them have traces of cocaineQuestion (c) Compute cumulative frequencies and cumulative relative frequencies.(d) What is the percentage of days when more than 6 books were stolen?The probability of a student succeeding in statistics is 0.6, the probability of him succeeding in anatomy is 0.2, and the probability of him succeeding in statistics when he has succeeded in anatomy is 0.7, so the probability of him succeeding in anatomy if he succeeds in statistics is: * O 0.24 O 0.23 O 0.26
- Of the cartons produced by a company, 10% have a puncture, 5% have a smashed corner, and 0.9% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner (Type an integer or a decimal. Do not round.)Suppose that the probability an archer will hit a target is 0.80 and that each shot is independent. If the archer shoots 6 times, what is the probability she hits the target at least 5 times? (Round your answer to three decimal places.)The genotype of an organism can be either normal (wild type, W) or mutant (M). Each generation, a wild type individual has probability 0.03 of having a mutant offspring, and a mutant has probability 0.005 of having a wild type offspring.
- Jack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.A coin is chosen at random and tossed. The result is a head. What is the probability that the opposite face is a tail? Among the three coins, one has heads on both the faces, the second has tails For families with school age children, let the probability that a mother will attend a given PTA (Parent-teacher association) meeting is 0.7, the probability that a father will attend is 0.5 and the probability that (0S=s both will attend is 0.3. what is the probability that (i) at least one of the parents, eni (ii) exactly one of the parents, (iii) at most one of the parents, and (iv) none of the parents (a) 2.0 slq orit roto2 () 185 ad ot (d) ogbud latigeo orfT 000,012 will attend the meeting? Isioi Wan no nega tnuon onin (b) Atoth the faces, and the third has a head on one face and a tail on the other. on bein is chosen at random and tossed. The result is a head. What is the aThe probability that a randomly selected student from a college is a senior is .20, and the joint probability that the student is a computer science major and a senior is .03. Find the condi- tional probability that a student selected at random is a computer science major given that the student is a senior.