1. QUESTION 1 Find the indicated probability. A IRS auditor randomly selects 3 tax returns from 49 returns of which 7 contain errors. What is the probability that she selects none of those containing errors? Round to four decimal places. 0.00 29 0.62 97 0.62 31 0.00 19 QUESTION 2 1. Is Event B dependent or independent of Event A? A: A green ball is drawn from a box with five balls and placed next to the box. B: A red ball is drawn next and placed next to the green one. Depende nt Independ ent 1. QUESTION 3 Find the indicated probability. You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that the first card is a King and the second card is a queen. Express your answer as a simplified fraction. 2/3 1/66 3 13/1 02 4/66 3 1. QUESTION 4 Find the indicated probability. Round to the nearest thousandth. A study conducted at a certain college shows that 57% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 9 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating. 0.99 4 0.11 1 0.57 0 0.99 9 QUESTION 5 1. Find the indicated probability. A bin contains 64 light bulbs of which 10 are defective. If 5 light bulbs are randomly selected from the bin with replacement, find the probability that all the bulbs selected are good ones. Round to the nearest thousandth if necessary. 0.42 8 0.48 4 0.84 4 0 1. QUESTION 6 Find the indicated probability. Round to the nearest thousandth. In a batch of 8,000 clock radios 2% are defective. A sample of 11 clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected? 0.80 1 0.19 9 0.09 09 0.02 00 QUESTION 7 1. Evaluate the expression. 11!/7! 2! 11/7 7920 77,0 00 1. QUESTION 8 Provide a written description of the complement of the given event. When several textbooks are edited, none of them are found to be free of errors. All of the textbooks are free of errors. One of the textbooks is free of errors. At most one of the textbooks is free of errors. At least one of the textbooks is free of errors. QUESTION 9 1. Estimate the probability of the event. A polling firm, hired to estimate the likelihood of the passage of an upcoming referendum, obtained the set of survey responses to make its estimate. The encoding system for the data is: If the referendum were held today, estimate the probability that it would pass. 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0 0.6 0.4 0.6 5 0.5 1. QUESTION 10 Solve the problem. A class has 8 students who are to be assigned seating by lot. What is the probability that the students will be arranged in order from shortest to tallest? (Assume that no two students are the same height.) 0.00024 802 0.1000 0.00019 841 0.00002 48 QUESTION 11 1. Find the indicated probability. The table below describes the smoking habits of a group of asthma sufferers. 2. If one of the 997 people is randomly selected, find the probability of getting a regular or heavy smoker. 0.10 0 0.44 2 0.15 7 0.22 7 1. QUESTION 12 Solve the problem. A state lottery involves the random selection of six different numbers between 1 and 31. If you select one six number combination, what is the probability that it will be the winning combination? 1/736,281 1/887,503,681 1/530,122,320 1/720 / 1. QUESTION 13 Find the indicated probability. In a certain class of students, there are 11 boys from Wilmette, 4 girls from Winnetka, 7 girls from Wilmette, 4 boys from Glencoe, 5 boys from Winnetka and 4 girls from Glencoe. If the teacher calls upon a student to answer a question, what is the probability that the student will be a boy? 0.57 1 0.42 9 0.71 0.31 4 QUESTION 14 1. Find the indicated complement. Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.428. Find the probability that in a given year it will not snow on January 1st in that town. 0.74 8 0.57 2 2.33 6 1.42 8 1. QUESTION 15 Express the indicated degree of likelihood as a probability value. "It will definitely turn dark tonight." 0.3 0 0.6 7 1 0.5 QUESTION 16 1. Solve the problem. The organizer of a television show must select 5 people to participate in the show. The participants will be selected from a list of 30 people who have written in to the show. If the participants are selected randomly, what is the probability that the 5 youngest people will be selected? 1/120 1/17,100,720 4/15 1/142,506 QUESTION 17 1. Find the indicated probability. The table below describes the smoking habits of a group of asthma sufferers. If two different people are randomly selected from the 954 subjects, find the probability that they are both women. Round to four decimal places. 0.2282 0.1595 0.2285 0.000004 809 QUESTION 18 1. Find the indicated probability. Refer to the table which summarizes the results of testing for a certain disease. If one of the results is randomly selected, what is the probability that it is a false positive (test indicates the person has the disease when in fact they don't)? What does this probability suggest about the accuracy of the test? 0.155; The probability of this error is high so the test is not very accurate. 0.414; The probability of this error is high so the test is not very accurate. 0.0256; The probability of this error is low so the test is fairly accurate. 0.103; The probability of this error is high so the test is not very accurate. 1. QUESTION 19 Determine whether the events are disjoint. Find a ten dollar bill on the sidewalk. Find a ten dollar bill on the grass. Ye s No QUESTION 20 1. From the information provided, create the sample space of possible outcomes. Flip a coin twice. HH TT HT HT HT TH HH HT TT HH HT TH TT Click Save and Submit to save and submit. Click Save All Answers to save all answers. Subject has the disease Subject does not have the disease Positive test result 85 28 Negative Test Result 7 153 Men women total nonsmoker 425 381 806 Lightsmoker 38 32 70 Heavysmoker 35 43 78 total 498 456 954 Nonsmoker Men Women total 334 357 691 Occasional smoker 50 30 80 Regular smoker 68 89 157 Heavy smoker 32 37 69 Total 484 513 997