MATH 302 QUIZ 2 – QUESTION AND ANSWERS SET 1 ( LATEST UPDATE )

MATH 302 QUIZ 2 – QUESTION AND ANSWERS SET 1 Part 1 of 6 - 5.0/ 5.0 Points Question 1 of 20 1.0/ 1.0 Points A gumball machine contains 300 grape flavored balls, 400 cherry flavored balls, and 500 lemon flavored balls. What is the probability of getting 1 grape ball, 1 cherry ball, and 1 lemon ball if each ball was removed and then replaced before choosing the next from the machine? A.0.0264 B.0.0531 C.0.0347 D.0.0482 Answer Key: C Question 2 of 20 1.0/ 1.0 Points The number of ways to choose two representatives from a committee of 13 people is A.156 B.78 C.13! D.55 Answer Key: B Question 3 of 20 1.0/ 1.0 Points 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 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 Answer Key: A Question 4 of 20 1.0/ 1.0 Points If two events are mutually exclusive, what is the probability that both occur at the same time? A.0.50 B.Cannot be determined from the information given. C.0.00 D.1.00 Answer Key: C Question 5 of 20 1.0/ 1.0 Points If the probability that it will rain tomorrow is 0.38, then the probability that it will not rain tomorrow is: A.0.38 B.-0.38 C.0.62 D.1.38 Answer Key: C 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.0.20 B.0.85 C.0.80 D.0.15 Answer Key: C Question 7 of 20 1.0/ 1.0 Points If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct. Each question has four possible choices. A.0.19 B.0.17 C.0.08 D.0.23 Answer Key: A Question 8 of 20 1.0/ 1.0 Points A researcher surveyed college students to study their opinion about the proposed change in smoking rules. The researcher asked a group of 30 students: 12 of them supported the change, 13 of them did not, and 5 had no opinion. This is not a binomial model because... A less than half of the students supported the change. B.30 students are not enough for a good sample C. there are 3 possible outcomes, not 2. D the students who strongly supported the change and those who only mildly supported the change are counted the same. Answer Key: C Question 9 of 20 1.0/ 1.0 Points The variance of a binomial distribution for which n = 100 and p = 0.20 is: A.80 B.100 C.20 D.16 Answer Key: D Question 10 of 20 1.0/ 1.0 Points A multiple choice quiz consists of 6 questions, each with 4 possible answers. If a student guesses at the answer to each question, then the mean number of correct answers is A.6.00 B.1.50 C.4.00 D.10.00 Answer Key: B Part 3 of 6 - 3.0/ 4.0 Points Question 11 of 20 0.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Suppose that the probability that a new medication will cause a bad side effect is 0.03. If this medication is given to 150 people, what is the probability that more than three of them will experience a bad side effect? Place your answer, rounded to 4 decimal places, in the blank. For example, 0.1776 would be a legitimate answer. .1787 Answer Key: 0.6500|0.6700 Question 12 of 20 1.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. The annual returns, in percentages, on stocks A and B for three possible states of the economy are given in the table below. Economy State Probability StockA StockB Good 0.5 40 20 Average 0.3 20 40 Bad 0.2 10 8 If one invested in StockA, what would be the standard deviation of the percentage return? Place your answer, in percent rounded to 1 decimal place, in the blank. For example, a standard deviation of 10.39 percent would be reported as 10.4. Do not use a percent sign. 12.5 Answer Key: 12.0|13.0 Question 13 of 20 1.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. 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 6 P (X=x) 0.55 0.15 0.10 0.10 0.04 0.03 0.03 What is the variance of X? Place your answer, rounded to two decimal places in the blank. For example, 4.56 would be a legitimate entry. 2.62 Answer Key: 2.62 Question 14 of 20 1.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. A school determines that the number of children X in the families who attend the school follows the distribution below: Number of children X 1 2 3 4 5 Probability P(X) 0.20 0.35 0.25 0.15 0.05 What is the mean number of children per family? Round your answer to one decimal place as necessary. For example, 4.5 would be a legitimate entry. Answer: 2.5 Answer Key: 2.5 Part 4 of 6 - 3.0/ 4.0 Points Question 15 of 20 1.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. At a certain college, there were 600 science majors, 200 engineering majors, and 500 business majors. If a student is selected at random, what is the probability that the student is an engineering major? Place your answer, rounded to four decimal places, in the blank. .1538 When entering your answer do not use any labels or symbols other than a decimal point. Simply provide the numerical value. For example, 0.1234 would be a legitimate entry. Answer Key: 0.1488|0.1588 Question 16 of 20 1.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. 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 3 200 300 Yes 60 110 30 No 40 215 45 100 325 75 Given that alcohol was not involved, what proportion of the accidents involved a single vehicle? Place your answer, rounded to 2 decimal places, in the blank. For example, 0.23 is a legitimate answer. .13 Answer Key: 0.13 Question 17 of 20 1.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. Forty five percent of the sales are chocolate, while 30% are strawberry, with the rest vanilla flavored. Sales are by the cone or the cup. The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For a randomly selected sale, define the following events: = chocolate chosen = strawberry chosen = vanilla chosen = ice cream on a cone ice cream in a cup Find the probability that the ice cream was sold in a cup. Place your answer, rounded to 4 decimal places, in the blank. For exampe, 0.3456 would be a legitimate entry. .3825 Answer Key: 0.3825 Question 18 of 20 0.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Suppose that a marketing firm sends questionnaires to two different companies. Based on historical evidence, the marketing research firm believes that each company, independently of the other, will return the questionnaire with a probability of 0.30. What is the probability that both questionnaires will be returned? Place your answer, rounded to 2 decimal places, in the blank. For example, 0.23 is a legitimate entry. .42 Answer Key: 0.09 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 Answer Key: False Part 6 of 6 - 1.0/ 1.0 Points Question 20 of 20 1.0/ 1.0 Points The expected number of tails in 500 tosses of an unbiased coin is 200. True False Answer Key: False