MATH302 Quiz 2 exam questions and answers 2020

MATH302 Quiz 2 exam questions and answers 2020 In a recent study, the following data were obtained in response to the question, “Do you favor recycling in your neighborhood?” Yes No No Opinion Males 25 15 10 ...

MATH302 Quiz 2 exam questions and answers 2020 In a recent study, the following data were obtained in response to the question, “Do you favor recycling in your neighborhood?” Yes No No Opinion Males 25 15 10 Females 30 10 10 If a person is picked at random, what is the probability that the person is either male or has no opinion regarding recycling? • A. 3/5 • B. 3/10 • C. 4/5 • D. 7/10 Question 2 of 20 1.0/ 1.0 Points Sue has 10 pictures but only has space in her apartment to hang 4 of them on a wall. The number of different arrangements of four pictures from a selection of ten pictures is: • A. 24 • B. 151,200 • C. 210 • D. 5,040 Question 3 of 20 1.0/ 1.0 Points If two events are mutually exclusive, what is the probability that one or the other occurs? • A. 1.00 • B. 0.25 • C. 0.50 • D. Cannot be determined from the information given. Question 4 of 20 1.0/ 1.0 Points If 25 tickets are sold and 2 prizes are to be awarded, find the probability that one person will win both prizes if that person buys exactly 2 tickets. • A. 1/600 • B. 1/2300 • C. 1/300 • D. 1/700 Question 5 of 20 1.0/ 1.0 Points If events A and B are mutually exclusive, then the probability of both events occurring simultaneously is equal to • A. 0.0 • B. 0.5 • C. 1.0 • D. any value between 0.5 and 1.0 Part 2 of 6 - 5.0/ 5.0 Points Question 6 of 20 1.0/ 1.0 Points The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months. x 0 1 2 3 4 5 P (X=x) 0.20 0.25 0.20 0.15 0.10 0.10 Find P( X 3) • A. 0.15 • B. 0.20 • C. 0.85 • D. 0.80 Question 7 of 20 1.0/ 1.0 Points Find the variance of the following probability distribution. X P(X) 1 0.20 2 0.15 3 0.25 4 0.25 5 0.15 • A. 1.34 • B. 1.8 • C. 0.48 • D. 1.16 Question 8 of 20 1.0/ 1.0 Points We assume that the outcomes of successive trials in a binomial experiment are: • A. random numbers between 0 and 1 • B. probabilistically dependent • C. identical from trial to trial • D. probabilistically independent Question 9 of 20 1.0/ 1.0 Points Suppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30. What is the probability that between 25 and 30 batteries (inclusive) will last at least 8 hours? • A. 0.0839 • B. 0.7792 • C. 0.1186 • D. 0.9169 Question 10 of 20 1.0/ 1.0 Points The variance of a binomial distribution for which n = 100 and p = 0.20 is: • A. 16 • B. 80 • C. 100 • D. 20 Part 3 of 6 - 4.0/ 4.0 Points Question 11 of 20 1.0/ 1.0 Points Click to see additional instructions Find the mean of the distribution shown below. X 0 1 2 P(X) 0.24 0.31 0.45 Round your answer to two decimal place as necessary. For example, 4.56 would be a legitimate entry. Mean = Question 12 of 20 1.0/ 1.0 Points Click to see additional instructions In February 2002 the Argentine peso lost 70% of its value compared to the United States dollar. This devaluation drastically raised the price of imported products. According to a survey conducted by AC Nielsen in April 2002, 68% of the consumers in Argentina were buying fewer products than before the devaluation, 24% were buying the same number of products, and 8% were buying more products. Furthermore, in a trend toward purchasing less-expensive brands, 88% indicated that they had changed the brands they purchased. Suppose the following complete set of results were reported. Use the following data to answer this question. Number of Products Purchased Brands Purchased Fewer Same More Total Same 10 14 24 48 Changed 262 82 8 352 Total 272 96 32 400 What is the probability that a consumer selected at random purchased fewer products than before? Place your answer, rounded to 4 decimal places, in the blank. .6800 Question 13 of 20 1.0/ 1.0 Points Click to see additional instructions Find the expected value of the following probability distribution. X 1 2 3 4 5 P(X) 0.05 0.20 0.35 0.25 0.15 Round your answer to two decimal place as necessary. For example, 4.56 would be a legitimate entry. Expected value = Question 14 of 20 1.0/ 1.0 Points Click to see additional instructions Find the mean of the following probability distribution? 1 0.20 2 0.10 3 0.35 4 0.05 5 0.30 Place your answer, rounded to two decimal places, in the blank. When entering your answer do not use any labels or symbols other than a decimal point. Simply provide the numerical value. For example, 1.23 would be a legitimate entry. Part 4 of 6 - 3.0/ 4.0 Points Question 15 of 20 1.0/ 1.0 Points Click to see additional instructions Mothers Against Drunk Driving (MADD) is a very visible group whose main focus is to educate the public about the harm caused by drunk drivers. A study was recently done that emphasized the problem we all face with drinking and driving. Five hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident. The numbers are shown below: Number of Vehicles Involved Did alcohol play a role? 1 2 3 Yes 60 110 30 200 No 40 215 45 300 100 325 75 Given that alcohol was not involved, what proportion of the accidents were multiple vehicle? Place your answer, rounded to 2 decimal places, in the blank. For example, 0.23 is a legitimate entry. Question 16 of 20 1.0/ 1.0 Points Click to see additional instructions If a coin is tossed seven times, how many different outcomes are possible? Place your answer in the blank. Do not use any decimal places or commas. For example, 345 would be a legitimate entry. Question 17 of 20 1.0/ 1.0 Points Click to see additional instructions In Major League Baseball there are five teams in the Western Division of the National League: Arizona, Los Angeles, San Francisco, San Diego, and Colorado. How many different orders of finish are there for these five teams? Place your answer in the blank. Do not use any decimal places or commas. For example, 45 would be a legitimate entry. Question 18 of 20 0.0/ 1.0 Points Click to see additional instructions The president of a bank is attempting to arrange a meeting with the three vice presidents for a Friday weekly meeting. He believes that each of these three busy individuals, independently of the others, has about 40% chance of being able to attend the meeting. If the meeting will be held only if every vice president can attend, what is the probability that the meeting will take place? Place your answer, rounded to 3 decimal places, in the blank. For example, 0.123 would be a legitimate entry. Part 5 of 6 - 1.0/ 1.0 Points Question 19 of 20 1.0/ 1.0 Points Suppose A and B are mutually exclusive events where P(A) = 0.3 and P(B) = 0.4, then P(A and B) = 0.12. True False Part 6 of 6 - 1.0/ 1.0 Points Question 20 of 20 1.0/ 1.0 Points A binomial experiment has exactly two outcomes, so the probability of any binomial experiment is always 0.5 or 50%. True False