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Question 1 Not answered Marked out of 3.00 ¥ Flag question Question 2 Not answered Marked out of 1.00 ¥ Flag question A survey of new Toyota Corolla owners has shown that during the first year of ownership, 15% of Corollas required repairs once, 8% required repairs twice, and 5% required repairs three or more times. Suppose you are interested in purchasing one. (a) What is the probability that your new car won't require any repairs during the first year? Answer: ‘ ‘ (b) What is the probability that your new car will need repairs no more than once during the first year? Answer: ‘ ‘ (c) What is the probability that at least one repair will be required during the first year? Answer: ‘ ‘ A correct answer is (.72, which can be typed in as follows: 0.72 A correct answer is (.87, which can be typed in as follows: 0.87 A correct answer is (.28, which can be typed in as follows: 0.28 Suppose a large group of adults were surveyed about a variety of topics. Which of the following sets of events are NOT disjoint? Attended post-secondary school vs. Did not attend post-secondary school Having at least one kid vs. Having no kids Owning a car vs. Not owning a car Being older than 35 vs. Not being younger than 35 Drinking more than 3 cups of coffee vs. Drinking 3 cups of coffee or less

Question 3 Not answered Marked out of 3.00 " Flag question Question 4 Not answered Marked out of 1.00 " Flag question Suppose that last month, WestJet flights arrived on time 72% of the time and you were on 3 of those flights. (Round your answers to 4 decimal places, if needed.) (a) Given that each flight is independent of one another, what is the probability that all of your flights arrived on time? Answer: ‘ ‘ (b) What is the probability that none of your flights arrived on time? Answer: ‘ ‘ (c) What is the probability that at least one of your flights arrived on time? Answer: ‘ ‘ A correct answer is 0.3732, which can be typed in as follows: 0.3732 A correct answer is 0.022, which can be typed in as follows: 0.022 A correct answer is 0.978, which can be typed in as follows: 0,978 Suppose you play a game where you throw a weighted 4-sided die and win money based on what it lands on. Of the following probability assignments, which one is NOT possible? 1 2 3 4 a) 0.25 0.25 1/3 1/6 b) 1/3 0 1/3 1/3 c) 0 0 1.05 0 d) 0.2 0.2 0.2 0.4 e) 0.1 0.1 0.4 0.4 Row a Row b Row ¢ Row d Row e A correct answer is: * Rowec

Question 5 Not answered Marked out of 2.00 ¥ Flag question Question 6 Not answered Marked out of 4.00 " Flag question A survey of 217 people in an introductory math course at the University of Alberta found that 177 people were under the age of 20, and 25 people were over the age of 30. (Round all answers to 3 decimal places, if needed.) (a) What is the probability that a randomly selected person is either above the age of 30 or under the age of 20? Answer: (b) What is the probability that a randomly selected person is between the ages of 20 and 30, inclusive? Answer: ’ A correct answer is 0.931, which can be typed in as follows: 0.931 A correct answer is 0.069, which can be typed in as follows: 0.069 One evening at a local restaurant, a manager decided to ask his patrons which meals they had cooked for themselves during the day, as opposed to eating out at a restaurant. The manager found that 30% cooked breakfast, 19% cooked lunch, and 7% cooked both meals. (Round your answers to 2 decimal places, if needed.) Hint: Drawing a Venn diagram may help. (a) What is the probability that a randomly selected patron cooked breakfast or lunch? [ (b) What is the probability that a randomly selected patron cooked breakfast but not lunch? (c) What is the probability that a randomly selected patron cooked lunch but not breakfast? (d) What is the probability that a randomly selected patron cooked none of their meals? [} A correct answer is (.42, which can be typed in as follows: 0.42 A correct answer is (.23, which can be typed in as follows: 0.23 A correct answer is (.12, which can be typed in as follows: 0.12 A correct answer is (.58, which can be typed in as follows: 0.58

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Question 6 Not answered Marked out of 4.00 ¥ Flag question Question 7 Not answered Marked out of 3.00 ¥ Flag question One evening at a local restaurant, a manager decided to ask his patrons which meals they had cooked for themselves during the day, as opposed to eating out at a restaurant. The manager found that 30% cooked breakfast, 19% cooked lunch, and 7% cooked both meals. (Round your answers to 2 decimal places, if needed.) Hint: Drawing a Venn diagram may help. (a) What is the probability that a randomly selected patron cooked breakfast or lunch? (b) What is the probability that a randomly selected patron cooked breakfast but not lunch? (c) What is the probability that a randomly selected patron cooked lunch but not breakfast? (d) What is the probability that a randomly selected patron cooked none of their meals? A correct answer is (.42, which can be typed in as follows: 0.42 A correct answer is .23, which can be typed in as follows: 0.23 A correct answer is (.12, which can be typed in as follows: 0.12 A correct answer is (.58, which can be typed in as follows: 0.58 A survey was conducted from a large group of high school students in an effort to determine what science courses they were currently enrolled in. It was found that 76% of the students were enrolled in Chemistry, 70% of students were enrolled in Physics, and 58% of students were enrolled in Biology. Assume independence between the science classes that each student is enrolled in. (Round your answers to 3 decimal places, if needed.) (a) What is the probability that a randomly selected student is enrolled in Chemistry and Physics, but not Biology? (b) What is the probability that a randomly selected student is enrolled in Physics but not Chemistry? [ ] (c) What is the probability that a randomly selected student is enrolled in Chemistry or Biology?

Question 7 Not answered Marked out of 3.00 V¥ Flag question Question 8 Not answered Marked out of 3.00 " Flag question A survey was conducted from a large group of high school students in an effort to determine what science courses they were currently enrolled in. It was found that 76% of the students were enrolled in Chemistry, 70% of students were enrolled in Physics, and 58% of students were enrolled in Biology. Assume independence between the science classes that each student is enrolled in. (Round your answers to 3 decimal places, if needed.) (a) What is the probability that a randomly selected student is enrolled in Chemistry and Physics, but not Biology? (b) What is the probability that a randomly selected student is enrolled in Physics but not Chemistry? (c) What is the probability that a randomly selected student is enrolled in Chemistry or Biology? A correct answer is 0.223, which can be typed in as follows: 0.223 A correct answer is 0.168, which can be typed in as follows: 0.168 A correct answer is 0.899, which can be typed in as follows: 0.899 A group of people were surveyed about how many times they go to the grocery store in a week. The results are shown in the following contingency table. (Round your answers to 3 decimal places, if needed.) 1 time|2 times|3 or more times|Total Male 47 24 15 86 Female| 39 31 14 84 Total 86 55 29 170 (a) What is the probability that a randomly selected person goes to the grocery store 2 times a week? (b) What is the probability that a randomly selected person is female and goes to the grocery store once a week? (c) What is the probability that a randomly selected person goes to the grocery store at least 2 times a week, given he is a male? A correct answer is 0.324, which can be typed in as follows: 0.324 A correct answer is 0.229, which can be typed in as follows: 0.229

Question 8 Not answered Marked out of 3.00 " Flag question Question 9 Not answered Marked out of 3.00 " Flag question A group of people were surveyed about how many times they go to the grocery store in a week. The results are shown in the following contingency table. (Round your answers to 3 decimal places, if needed.) 1 time|2 times|3 or more times|Total Male 47 24 15 86 Female| 39 31 14 84 Total 86 55 29 170 (a) What is the probability that a randomly selected person goes to the grocery store 2 times a week? (b) What is the probability that a randomly selected person is female and goes to the grocery store once a week? (c) What is the probability that a randomly selected person goes to the grocery store at least 2 times a week, given he is a male? A correct answer is (.324, which can be typed in as follows: 0.324 A correct answer is (.229, which can be typed in as follows: 0.229 A correct answer is 0.453, which can be typed in as follows: 0.453 You decide to start taking coins out of your piggy bank. Currently, your piggy bank has 49 coins, of which 11 are toonies and 10 are loonies. Suppose that when you take a coin out, you do not put it back in the piggy bank; you are picking coins without replacement. (Round your answers to 4 decimal places, if needed.) (a) What is the probability that the third coin you pick is the first toonie you find? (b) What is the probability that at least one of the first two coins you pick is a toonie? (c) What is the probability that the first three coins you pick are all either loonies or toonies? A correct answer is 0.1399, which can be typed in as follows: 0. 1399 A correct answer is (0.4022, which can be typed in as follows: 0.4022 A correct answer is 0.0722, which can be typed in as follows: 0.0722

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Question 11 Suppose a lab is developing a robust new test to look for diabetes in children. If a child actually has diabetes, the probability that the test will be positive is 83%, indicating they have diabetes. If the child does not have diabetes, the probability that the test will be Not answered Marked out of 6‘;; eqoute positive is 10%. Suppose 6.0% of all children actually have diabetes. (Round your answer to 3 decimal places, if needed.) ¥ Flag question (a) What is the probability that a randomly chosen child has diabetes and tested positive? Answer: ‘ ‘ (b) What is the probability that a randomly chosen child tested positive? Answer: ‘ ‘ (c) Given that a test comes up positive, what is the probability the child has diabetes? Answer: L,i, B ‘ (d) What is the probability that a randomly chosen child does not have diabetes and tested negative? Answer: ‘ ‘ (e) What is the probability that a randomly chosen child tested negative? Answer: ‘ ‘ (f) Given that a test comes up negative, what is the probability the child does not have diabetes? Answer: ‘ ‘ A correct answer is (.05, which can be typed in as follows: 0. 05 A correct answer is (.144, which can be typed in as follows: 0.144 A correct answer is (.346, which can be typed in as follows: 0. 346 A correct answer is (.846, which can be typed in as follows: 0. 846 A correct answer is (0.856, which can be typed in as follows: 0.856 A correct answer is (1.988, which can be typed in as follows: 0.988

Question 10 Recent MLS listings of houses for sale in Edmonton show that 40% have attached garages, 25% have detached garages, and 16% have a home theatre. Additionally, 50% of houses with a home theatre have an attached garage, and 80% of houses with a detached garage do not have a home theatre. (Round your answers to 3 decimal places, if needed.) Not answered Marked out of 6.00 " Flag question a) What is the probability that a randomly chosen house has a garage? Answer: ‘ ‘ b) What is the probability that a house has an attached garage and a home theatre? Answer: ‘ ‘ c) What is the probability that a house has an attached garage, but no home theatre? Answer: ‘ ‘ d) What is the probability that a house has a detached garage, but no home theatre? Answer: ‘ ‘ e) What is the probability that a house has a garage, but no home theatre? Answer: ‘ ’ f) What is the probability that a house has a home theatre given it has an attached garage? Answer: ‘ 1 A correct answer is (.65, which can be typed in as follows: 0. 65 A correct answer is (.08, which can be typed in as follows: 0.08 A correct answer is (.32, which can be typed in as follows: 0. 32 A correct answer is (.2, which can be typed in as follows: 0.2 A correct answer is (.52, which can be typed in as follows: 0.52 A correct answer is (0.2, which can be typed in as follows: 0.2

Question 1 2 Not answered Marked out of 2.00 ¥ Flag question Question 13 Not answered Marked out of 1.00 ¥ Flag question A lottery has a grand prize jackpot worth 90 million dollars. The chance of winning from purchasing a single ticket is 1 in 42900000. (a) What is the expected value of winning from a single ticket? (Round your answer to the nearest cent.) The expected value of winning is: ‘ ‘ dollars (b) Would it be worth to buy a ticket for 2 dollars? Yes No A correct answer is 2.1, which can be typed in as follows: 2. 1 A correct answer is: * Yes Which of the following is NOT an example of a discrete random variable? X = Number of people on the bus X = Number of flights that arrive in Edmonton in a day X = Total time spent driving in a day X = Total steps walked in a day X = Number of bedrooms in a house A correct answer is: « X =Total time spent driving in a day

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Question 16 Not answered Marked out of 6.00 ¥ Flag question Question 1 7 Not answered Marked out of 2.00 ¥ Flag question Say you have a biased coin and you associate obtaining a head with the value 0 whereas obtaining a tail has a value of 2. Let X be the sum of the values obtained from tossing the coin three times. (Round your answers to 4 decimal places, if needed.) (a) If the probability of getting heads in a single toss is 0.4, then what is the probability distribution of X ? X 0 2 4 6 S N N N (b) What is P(X < 6)? (c) What is P(1 < X< 5)? A correct answer is (.064, which can be typed in as follows: 0.064 A correct answer is (0.288, which can be typed in as follows: 0.288 A correct answer is 0.432, which can be typed in as follows: 0.432 A correct answer is (0.216, which can be typed in as follows: 0.216 A correct answer is ().784, which can be typed in as follows: 0.784 A correct answer is (.72, which can be typed in as follows: 0.72 A manufacturer produces items with a rectangular base. Let random variables denote the respective length (X) and width (Y) of the rectangle (in cm). Suppose X and Y are independent with the following parameter values. E(X) = 3, Var(X) = 0.19, E(Y) = 6, Var(Y) = 0.31 The perimeter is then defined as 2X + 2Y. (Round your answers to 4 decimal places, if needed.) (a) What is the mean of the perimeter of the rectangle? [ (b) What is the standard deviation of the perimeter of the rectangle? [ A correct answer is 18.0, which can be typed in as follows: 18.0 A correct answer is 1.4142, which can be typed in as follows: 1.4142

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