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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- Which of the following cannot be a probability? O a. 2/9 O b. 0.16 с. 1 O d. 7/3.,A golf ball is selected at random from a golf bag. If the golf bag contains 7 green balls, 6 yellow balls, and 6 black balls, find the probability of the following event. The golf ball is green or yellow. The probability that the golf ball is green or yellow is (Type an integer or a decimal rounded to three decimal places as needed.)
- Suppose that 80% of American homes have a microwave oven. Let X be the number of American homes in a random sample of n=20 that have a microwave oven. Find the probability that X is at most 18 and at least 16.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 0.95A golf ball is selected at random from a golf bag. If the golf bag contains 7 type A balls, 8 type B balls, and 5 type C balls, find the probability that the golf ball is not a type A ball. The probability that the golf ball is not a type A ball is (Type an integer or decimal rounded to three decimal places as needed.)
- A building contractor buys 70% of his cement from supplier A and 30% from supplier B. A total of 70% of the bags from A arrive undamaged, while 90% of the bags from B arrive undamaged. Find the probability that an undamaged bag is from supplier B. The probability is nothing. (Type an integer or decimal rounded to four decimal places as needed.)Consider an M/M/1 queuing system with mean inter arrival time of 4 minutes. The average service time for each customer is 3 minutes. The probability that there are 3 arrivals in the system is closest to O a. None of these O b. 0.105 Oc. 0.895 O d. 0.422Use the following information to answer Question 16 and Question 17. A bag has 4 yellow balls and 6 red balls only. One ball is chosen at random and not replaced. A second ball is then chosen at random. Find the probability that both balls are yellow. A. 2/15 В. 4/25 C. 2/5 D. 11/15 Question 17 Find the probability that both balls have the same colour. А. 2/15 В. 1/6 С. 3/10 Activate D. 7/15 Go to Set
- 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.Suppose you just received a shipment of seven televisions. Three of the televisions are defective. If two televisions are randomly selected, compute the probability that both televisions work. What is the probability at least one of the two televisions does not work? The probability that both televisions work is (Round to three decimal places as needed.) The probability that at least one of the two televisions does not work is. (Round to three decimal places as needed.) DThe 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.