Problem#8: Team A has probability Q of winning whenever it plays. If A plays 4 games, find the probability that A wins (i) exactly 2 games, (ii) at least 1game, (iii) more than half of the games.
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- Suppose that an employee at a local company checks his watch and realizes that he has 10 minutes to get to work on time. If he leaves now and does not get stopped by any traffic lights, he will arrive at work in exactly 8 minutes. In between his house and his work there are three traffic lights, A, B, and C. Each light that stops him will cause him to arrive an additional 2 minutes later. The following table displays the probability that he is stopped by each of the three traffic lights. Assume that the probability that he is stopped by any given light is independent of the probability that he is stopped by any other light. Traffic light A Traffic light B Traffic light C ?(?)P(A) ?(?)P(B) ?(?)P(C) 0.6 0.4 0.9 What is the probability that the employee is not late for work? (Round to 3 decimal places)You have three jars containing marbles, as follows:jar 1 600 red and 400 whitejar 2 900 blue and 100 whitejar 3 10 green and 990 whitea. If you blindly select one marble from each jar,calculate the probability of obtaining(1) a red, a blue, and a green.(2) three whites.(3) a red, a green, and a white.(4) a red and two whites.(5) a color and two whites.(6) at least one white.b. In a certain plant, R = red and r = white. You self a redR/r heterozygote with the express purpose of obtaining awhite plant for an experiment. What minimum numberof seeds do you have to grow to be at least 95 percentcertain of obtaining at least one white individual?c. When a woman is injected with an egg fertilized invitro, the probability of its implanting successfully is20 percent. If a woman is injected with five eggssimultaneously, what is the probability that she willbecome pregnant? (Part c is from Margaret Holm.)Becky and Carla take an advanced yoga class. Becky can hold 29% of her poses for over a minute, while Carla can hold 35% of her poses for over a minute. Suppose each yoga student is asked to hold 50 poses. Let B the proportion of poses Becky can hold for over a minute and C = the proportion of poses Carla can hold for over a minute. What is the probability that Becky's proportion of poses held for over a minute is greater than Carla's? Find the z-table here. O 0.159 O 0,259 0 0.448 O 0,741 Save and Exit Next Submit Math and rem 96 & 7 8 9. 10
- 1. A class of 18 pupils consist of 11 girls, 4 of whom are left-handed, and 7 boys, only one of whom is left-handed. The two pupils are to be chosen at random from the class to act as monitors. Calculate the probabilities that the chosen pupils will consist ofa. One girl and One boyb. One girl who is left-handed and one boy who is left-handedc. Two left-handed pupilsA retailer of automobile parts has four employees, K, L, M, and N, who make mistakes in filling an order one time in 100, four times in 100, two times in 100, and six times in 100. Of all the orders filled, K , L, M, and N fill, respectively, 20%, 40%, 30%, and 10%. If a mistake is found in a particular order, what are the probabilities that it was filled by K, L, M, or N?We have two boxes, box A (6 blue marbles and 8 red marbles) and box B (6 blue marbles and 2 red marbles). We randomly pick one box, and randomly pick a marble from it. If the marble we picked was red, what is the probability that we drew from the first box?
- On Mr. Casper's debate team at Thunderbird High School, 20% of the members are Sophomores, 35% are Juniors and 45% are Seniors. A team member is selected randomly to give the closing argument for the team. If a sophomore gives the closing argument, the team has a probability of 0.25 of winning the debate. If a junior gives the closing argument, the probability of winning is 0.6. If a senior closes, the probability of winning is 0.85. (a) Find the probability that the team wins the debate. b sketch a tree diagram to model this processA null and alternative hypothesis are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Ho: Ha: р = 0.8 p0.8 What type of test is being conducted in this problem? A. Left-tailed test B. Two-tailed test C. Right-tailed test
