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Jan 9, 2024

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[05] Module 5 Quiz - Results Attempt 1 of 2 Written Dec 13, 2023 7:30 AM - Dec 13, 2023 10:30 AM Attempt Score 75 / 100 - 75 % Overall Grade (Highest Attempt) 75 / 100 - 75 % Question 1 5 / 5 points A lot of 10 components contains 3 that are defective. Two components are drawn at random and tested. Let A be the event that that the first component drawn is defective, and B be the event that the second component drawn is defective. a. Find P ( A ). b. Find P ( B | A ). c. Find P ( A and B ). d. Are A and B independent? Question options: a. 0.3000 b. 0.3333 c. 0.1000 d. No a. 0.3333 b. 0.1250 c. 0.1000

d. Yes a. 0.3000 b. 0.2222 c. 0.0667 d. Yes a. 0.3000 b. 0.2222 c. 0.0667 d. No Question 2 0 / 5 points Nanette must pass through three doors as she walks from her company's foyer to her office. Each of these doors may be locked or unlocked. Let C be the event that at least two doors are unlocked. List the outcomes of C . [Let "L" designate "locked" and "U" designate "unlocked".] Question options: {LLL, LLU, LUL, LUU, ULL, ULU, UUL, UUU} {UUU, LUU, ULU, UUL} {LLU, LUL, ULL, LUU, ULU, UUL} None of these. Question 3 5 / 5 points If P ( A ) = 0.43, P ( B ) = 0.21, and P ( A or B ) = 0.64, are A and B mutually exclusive? Question options: Yes No Question 4 0 / 5 points

A poll was taken of 13,795 working adults aged 40-70 to determine their level of education. The participants were classified by sex and by level of education. The results were as follows. Total 7,208 6,587 13,795 A person is selected at random. Compute the probability that the person has a master's degree. Question options: 0.041 0.036 0.073 0.032 Question 5 5 / 5 points Let A and B be events with P ( A ) = 0.3, P ( B ) = 0.2, and P ( A and B ) = 0.06. Are A and B independent? Question options: No Yes Question 6 0 / 5 points What is the correct relationship between events A and B? A: Karl is college graduate. B: Karl is a high school graduate. Question options:

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A and B are mutually exclusive. B is the complement of A. A and B are not mutually exclusive. If B is not true, A cannot be true. Question 7 5 / 5 points The numbers 1 through 7 are written in separate slips of paper, and the slips are placed into a box. Then, 4 of these slips are drawn at random. What is the probability that the drawn slips are "1", "2", "3", and "4", in that order? Question options: 0.68568 0.00119 0.02857 0.02856 Question 8 5 / 5 points On a TV game show, a contestant is shown 11 products from a grocery store and is asked to choose the three least-expensive items in the set. The three chosen items need not be in any particular order. In how many ways can the contestant choose the three items? Question options: 6 165 6,652,800 990

Question 9 5 / 5 points For the event described below, which of the following represents the complement of the event? A sample of 357 software DVDs was selected. Fewer than 44 of these were defective. Question options: More than 44 DVDs were not defective. Fewer than 44 DVDs were not defective. At least 44 DVDs were defective. At most 44 DVDs were not defective. Question 10 5 / 5 points What is the correct relationship between events A and B? A: Laura participated in an out-of-town volleyball game at 11:00 AM last Friday. B: Laura met with her academic advisor on campus at 11:00 AM last Friday. Question options: A and B are mutually exclusive. A and B are complementary. A and B are not mutually exclusive. If B is true, A is true. Question 11 5 / 5 points If P ( A C ) = 0.41, find P ( A ). Question options: 0.205 0.59

0.295 0.41 Question 12 0 / 5 points A survey asked respondents to indicate their level of satisfaction with government spending. results are show below. Total 12,428 Assume this is a simple random sample from a population. Use the Empirical Method to estimate the probability that a person is dissatisfied with government's spending? Question options: 0.407 0.33 0.633 0.593 Question 13 5 / 5 points The arrow on the spinner shown below can be spun so that the arrowhead eventually stops in one of the three sectors labeled "A", "B", or "C". The spinner is spun 109 times and comes up "A" 56 times. Use the Empirical Rule

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to approximate the probability that the spinner comes up "A". Question options: 0.514 0.5 0.339 0.486 Question 14 5 / 5 points There are 25 students in a sixth-grade class. On a cold winter day in February, many of the students had runny noses and sore throats. After examining each student, the school nurse constructed the following table: Sore throat No sore throat Runny nose 3 2 No runny nose 6 14 Find the probability that a randomly-selected student has a sore throat. Question options: 0.36 0.50 0.24

0.20 Question 15 5 / 5 points A section of an exam contains two multiple-choice questions, each with three answer choices (listed "A", "B", and "C"). Assuming the outcomes to be equally likely, find the probability (as a reduced fraction) that at least one answer is "A". [Hint: List all the outcomes of the sample space first.] Question options: 5/9 7/9 2/3 1/3 Question 16 5 / 5 points For this year's mayoral election, voter dissatisfaction is very high. In a survey of 700 likely voters, 182 said they planned to write in an independent candidate rather than vote for the Democrat or Republican candidate for mayor. Estimate the percentage of voters who plan to write in an independent candidate? Question options: 70% 18.2% 26% 74% Question 17 5 / 5 points

In a recent semester at a local university, 540 students enrolled in both General Chemistry and Calculus I. Of these students, 51 received an A in general chemistry, 59 received an A in calculus, and 30 received an A in both general chemistry and calculus. Find the probability that a randomly chosen student did not receive an A in general chemistry. Question options: 0.891 0.906 0.85 0.094 Question 18 5 / 5 points A survey asked 31,156 homeowners how many pets they owned. The results were as follows: Total 31,156 What is the probability that a sampled homeowner has more than 1 pet? Question options: 0.475 0.525 0.208 0.215 Question 19 0 / 5 points

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A fast-food restaurant chain has 622 outlets in the United States. The following table categorizes them by city population and location and presents the number of outlets in each category. An outlet is chosen at random from the 622 to test market a new menu. Given that the outlet is located in the West (either SW or NW), what is the probability that it in a city with population 50,000–500,000? Question options: 0.703 0.138 0.238 0.327 Question 20 5 / 5 points On a certain day, a cheese packaging facility packaged 500 units of mozzarella cheese. Some these packages had major flaws, some had minor flaws, and some had both major and flaws. The following table presents the results. Find the probability that randomly chosen cheese package has a flaw (major or minor). Question options: 0.264

0.784 0.216 0.168 Done

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