math 302 quiz 2 ( LATEST UPDATE )

Part 1 of 6 - 5.0/ 5.0 Points Question 1 of 20 1.0/ 1.0 Points If a die is rolled one time, find the probability of getting a number greater than 2. A.2 B.-1 C.5/ 6 D.4/ 6 Answer Key: D Question 2 of 20 1.0/ 1.0 Points A jar contains four white marbles, five red marbles, and six black marbles. If a marble is selected at random, find the probability that it is white or black . A.2/1 5 B.2/3 C.1/5 D.2/5 Answer Key: B Question 3 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.0.5 B.any value between 0.5 and 1.0 C.1.0 D.0.0 Answer Key: D Question 4 of 20 1.0/ 1.0 Points What type of probability uses sample spaces to determine the numerical probability that an event will occur? A.conditional probability B.subjective probability C.empirical probability D.classical probability Answer Key: D Question 5 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.1/60 0 B.1/30 0 C.1/23 00 D.1/70 0 Answer Key: B Part 2 of 6 - 5.0/ 5.0 Points Question 6 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.16 C.10 0 D.20 Answer Key: B Question 7 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.10.0 0 Answer Key: B Question 8 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 5) A.0.9 0 B.0.2 0 C.0.1 0 D.1.0 0 Answer Key: D Question 9 of 20 1.0/ 1.0 Points A pet supplier has a stock of parakeets of which 10% are blue parakeets. A pet store orders 3 parakeets from this supplier. If the supplier selects the parakeets at random, what is the chance that the pet store gets exactly one blue parakeet? A.0.08 1 B.0.24 3 C.0.02 7 D.0.00 3 Answer Key: B Question 10 of 20 1.0/ 1.0 Points Find the variance of the following probability distribution. X P(X) 1 0.20 2 0.35 3 0.10 4 0.25 5 0.10 A.1.8 3 B.1.3 1 C.1.2 5 D.1.7 1 Answer Key: D Part 3 of 6 - 4.0/ 4.0 Points Question 11 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 Probabilit y 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. 13.0 Answer Key: 12.0| 13.0 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. It has been reported that 3% of all cars on the highway are traveling at speeds in excess of 70 mph. If the speeds of four random automobiles are measured via radar, what is the probability that at least one car is going over 70 mph? Place your answer, rounded to four decimal places, in the space. 0.1000 Answer Key: 0.1000|.1300 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 Find P(1 < X < 5). Place your answer, rounded to two decimal places in the blank. For example, 0.56 would be a legitimate entry. .24 Answer Key: 0.24 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. 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 Find P(X > 0). Place your answer, rounded to two decimal places in the blank. For example, 0.56 would be a legitimate entry. .45 Answer Key: 0.45 Part 4 of 6 - 4.0/ 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. A reading list for a course contains 20 articles. How many ways are there to choose three articles from this list? Place your answer in the blank. Do not use any decimal places or commas. For example, 45 would be a legitimate entry. 1140 Answer Key: 1140 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. 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. What is the probability that at least two of the three vice presidents can attend the meeting? Place your answer, rounded to 3 decimal places, in the blank. For example, 0.123 would be a legitimate entry. .352 Answer Key: 0.352 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 on a cone and was strawberry flavor. Place your answer, rounded to 2 decimal places, in the blank. For exampe, 0.34 would be a legitimate entry. .18 Answer Key: 0.18 Question 18 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 jar contains four white marbles, five red marbles, and six black marbles. If a marble was selected at random, find the probability that it is white or black. Place your answer, rounded to 2 decimal places in the blank. For example 0.23 would be a legitimate entry. .67 Answer Key: . 67 Part 5 of 6 - 1.0/ 1.0 Points Question 19 of 20 1.0/ 1.0 Points Suppose A and B are two events where P(A) = 0.5, P(B) = 0.4, and P(A and B) = 0.2, then P(B|A) = 0.5. True Fals e Answer Key: False Part 6 of 6 - 1.0/ 1.0 Points Question 20 of 20 1.0/ 1.0 Points If X is a binomial random variable with n = 20, and p = 0.30, then P(X = 10) = 0.50. True Fals e Answer Key