2. - Construct a tree diagram for the following experiment. If a letter is randomly drawn from Box 1: put into Box 2, and then a letter is randomly drawn from Box 2, what is the probability that the letter I draw fro Box 2 is an "A"? AAB A B Box 1 Box 2
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- 2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:2. The following table categorizes a group of people based on the flavor of Kool-Aid they drink andwhether or not they like Justin Bieber.grape cherry trop.punch Totalgrape cherry trop.punch Totaldoes like Bieber 30 15 88doesn’t like Bieber 58Total 52 176 The random experiment is to select one (1) person from the table out of the 176 people, at random.(a) Fill in the table.(b) What is the probability that the person doesn’t like Bieber?(c) What is the probability that the person likes cherry Kool-Aid?(d) What is the conditional probability that the person doesn’t like Bieber, given that the personlikes grape Kool-Aid?(e) What is the conditional probability that the person likes cherry Kool-Aid, given that the persondoes like Bieber?Question 8 The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. A. Find the probability of getting exactly 6 girls in 8 births. B. Find the probability of getting 6 or more girls in 8 births. C. Which probability is relevant for determining whether 6 is a significantly high number of girls in 8 births: the result from part (a) or part (b)? A. The result from part a, since it less than the probability of the given or more extreme result. B. The result from part b, since it is the probability of the given or more extreme result. This is the correct answer. C.The result from part a, since it is the exact probability being asked. Your answer is not correct. D.The result from part b, since it is the complement of the result of part a. D. Is 6 a significantly high number of girls in 8 births? Why or why not? Use 0.05 as the threshold for a…
- A social psychologist hypothesized that a white person is more likely to cooperate with another person than a black person in a task requiring cooperation (this would be considerate an alternative hypothesis). To test this idea he conducted an experiment in which white subjects either worked on a task with a white person or black person (both of these “others” were confederates of the experimenter). Thirty-one subjects were randomly assigned to the “white-other” treatment (say this is treatment 1) and 31 were randomly assigned to the “black-other” treatment (this is treatment 2). If the mean cooperation scores, on a scale from 0 to 20, were 14 for those subjects in the “white-other” treatment and 12 for those in the “black-other” treatment, run an appropriate test to test the social psychologist’s hypothesis. Let us further say that the variance for the cooperation measure for the “white-other” treatment was = 2.48 and the variance for the “black-other” treatment was = 2.52. Use =0.05…A batter in the major leagues has a .2 batting average against left-handed pitchers and a .3 batting average against right-handed pitchers (i.e. he has a .2 and .3 probability, respectively, of getting on base). Suppose in a given season he will have 80 at bats with left-handed pitchers and 150 at-bats with right-handed pitchers. How many times should he be expected to get on a base in a given season? (Hint: These are still Bernoulli processes!)S5.2. Only 2% of the items produced on a new machine are defective. Assume that two parts produced on the machine are selected randomly and you are interested in the number of defective parts.a) Draw a tree diagram showing this as a two-step experiment.b) Build the probability distribution of X.
- R3.29. Homecoming A college statistics class conducted a survey concerning community attitudes about the college's large homecoming celebration. That survey drew its sample in the following manner: Telephone numbers were generated at random by selecting one of the local telephone exchanges (first three digits) at random and then generating a random four-digit number to follow the exchange. If a person an- swered the phone and the call was to a residence, then that person was taken to be the subject for interview. (Undergrad- uate students and those under voting age were excluded, as was anyone who could not speak English.) Calls were placed until a sample of 200 eligible respondents had been reached. | a) Did every telephone number that could occur in that community have an equal chance of being generated? b) Did this method of generating telephone numbers result in a Simple Random Sample (SRS) of local residences? Explain. c) Did this method generate an SRS of local voters? Explain.…QUESTION 11 A critical thinking professor asked her students to indicate whether they believed each of two headlines. One headline was false, and the other was true, but the students did not know this. The probability that a student selected at random believed the true headline was 89% and the probability that the student believed the false headline was 85%. She found that 7896 of the students believed both headlines. a. In this sample, are the events "believed the false headline" and "believed the true headline" mutually exclusive? Explain b. Find the probability that a randomly selected student from this sample believed the true headline OR believed the false headline. T TTT Paragraph Arial 3 (12pt) T O Mashups HTML CSS Words:0 Path: p Click Save and Submit to save and submit. Click Sae All Answers to save all answers. >8 0In the diagram below, all circles represent products and the shaded circles represent defective products. If three items are drawn at random from the lot, what is the probability that they are not defective? оооо ооо оо оо 0000 0 а. 0.5113 0 b. 0.4233 О с. 0.7234 Od. 0.8095 0 e. 0.0030
- Which of the following statements of random experiments and events is NOT true? The set A = {(H,H), (H,T), (T,H), (T,T)} is %3D an event in tossing a coin three times. The set D = {M, F} is an event in selecting a student from a class. The set B = {7 of hearts, 7 of spades, 7 of diamonds, 7 of clubs} is an event of drawing a card from a regular deck. The set C = {1, 3, 5} is an event in rolling a dice.I don't understand #4Please do #4
