Q 1-13 Section 7.4

Question 1 3 pts A college sends a survey to selected members of the class of 2019. Of the 1,681 people who graduated that year, 584 were women, of whom 194 went on to graduate school. Of the male graduates, 191 went on to graduate school. An alumni member is selected at random. What is the probability that the alumni is female? Note: For any final answer that has up to four decimal places, enter your answer without rounding the number. For any answers with more than four decimal values, round your final answer to four decimal places. Question 2 3 pts A person is selected at random for jury duty from a list of registered voters from three different counties. County A has 14,535 registered voters, County B has 14,877 registered voters, and county C has 29,163 registered voters. What is the probability that the person chosen is from county C? Note: For any final answer that has up to four decimal places, enter your answer without rounding the number. For any answers with more than four decimal values, round your final answer to four decimal places.Question 3 3 pts The data: 011 =7, 012 =5 , 113 =25 , (121:154 , (122 =100 , 123 =295 which is represented in the following table, were derived from a study of the effectiveness of a u vaccine. The value in each cell of the table represents the number of individuals in that category. Some participants in the study were given no vaccine, some were given one injection, and some were given two injections. What is the probability that a person received two injections? Note: For any nal answer that has up to four decimal places, enter your answer without rounding the number. For any answers with more than four decimal values, round your nal answer to four decimal places. Question 4 3 pts The sample space for tossing a coin three times is: S: {HHH, HHT, HTH, THH, TTT, TTH, THT, HTT} Note #1: in your answer that is to be entered in the box below, please do not omit the O that comes before the decimal point; that is, enter decimal values as 0.561, not .561 Note #2: Enter your answer without rounding it. a) What is the probability of obtaining at least two tails? b) What is the probability of obtaining exactly one head? c) What is the probability of obtaining no head? Question 5 3 pts A college sends a survey to selected members of the class of 2019. Of the 1,947 people who graduated that year, 717 were women, of whom 201 went on to graduate school. Of the male graduates, 140 went on to graduate school. An alumni member is selected at random. What is the probability that the alumni is male? Note: For any nal answer that has up to four decimal places, enter your answer without rounding the number. For any answers with more than four decimal values, round your nal answer to four decimal places. Question 6 3 pts The data: a11=10 , 6112 =5 , G13 =8 , (121:252 , 122 =133 , (123 =95 which is represented in the following table, were derived from a study of the effectiveness of a u vaccine. the value in each cell of the table represents the number of individuals in that category. Some participants in the study were given no vaccine, some were given one injection, and some were given two injections. What is the probability that a person received one injection AND got the u? Note: For any nal answer that has up to four decimal places, enter your answer without rounding the number. For any answers with more than four decimal values, round your nal answer to four decimal places. Question 7 3 pts Several health insurance companies are bidding for an insurance contract. Of these companies, 2 are local, 4 have state-wide operations, and 11 have national operations. Only one company will be awarded the contract. If each company is equally likely to win the contract, what is the probability that the contract will be awarded to one of the companies with state-wide operations? Note: For any nal answer that has up to four decimal places, enter your answer without rounding the number. For any answers with more than four decimal values, round your nal answer to four decimal places. Question 8 3 pts In a high school graduating class of 310 students, 179 are on the honor roll. Of the students who are on the honor roll, 77 are going on to college, and of the other students, 50 are going on to college. A student is selected at random from the graduating class. What is the probability that the chosen student is on the honor roll but Mgoing to college? Note: For any final answer that has up to four decimal places, enter your answer without rounding the number. For any answers with more than four decimal values, round your nal answer to four decimal places. Question 9 3 pts The data: all =17 , a12 =90 , a13 =10 , a21 =100 , a22 =19 , a23 =7 which is represented in the following table, were derived from an interview of a group of college students to determine their political party affiliations and whether they favored a balanced-budget amendment to the constitution. Favor Not Favor Unsure Democrat 17 90 10 Republican 100 19 7 What is the probability that a student is a Democrat AND favors the amendment? Note: For any final answer that has up to four decimal places, enter your answer without rounding the number. For any answers with more than four decimal values, round your final answer to four decimal places.Question 10 3 pts A coin is tossed 2 times. What is the probability of obtaining at least one tail? Note: Enter your full answer without rounding it. Question 11 3 pts A box contains 1 red marbles, 5 black marbles, and 7 yellow marbles. If a marble is selected at random from the box, what is the probability that it is yellow? Note: For any nal answer that has up to four decimal places, enter your answer without rounding the number. For any answers with more than four decimal values, round your final answer to four decimal places. Question 12 3 pts The data: which is represented in the following table, were derived from a study of the effectiveness of a u vaccine. the value in each cell of the table represents the number of individuals in that category. Some participants in the study were given no vaccine, some were given one injection, and some were given two injections. -_ One Injection Two Injections What is the probability that a person did not get the u? Note: For any nal answer that has up to four decimal places, enter your answer without rounding the number. For any answers with more than four decimal values, round your final answer to four decimal places. Question 13 3 pts In a high school graduating class of 607 students, 154 are on the honor roll. Of the students who are on the honor roll, 72 are going on to college, and of the other students, 139 are going on to college. A student is selected at random from the graduating class. What is the probability that the chosen student is going on to college? Note: For any nal answer that has up to four decimal places, enter your answer without rounding the number. For any answers with more than four decimal values, round your nal answer to four decimal places