Download Quiz 3 for Exam Review - Statistics for the Sciences | MATH 3339 and more Quizzes Statistics in PDF only on Docsity! PRINTABLE VERSION Quiz 3 You scored 100 out of 100 Question 1 Your answer is CORRECT. Given the following sampling distribution: X 17 12 2 11 15 P(X) 7∕100 1∕20 1∕100 3∕50 ___ What is P(X = 15)? a) 0.82 b) 0.81 c) 0.80 d) 0.15 e) 0.79 f) None of the above Question 2 Your answer is CORRECT. Given the following sampling distribution: X 19 12 5 12 13 P(X) 2∕25 3∕100 1∕100 1∕100 ___ What is P(X > 12)? a) 0.91 b) 0.89 c) 0.92 d) 0.86 e) 0.90 f) None of the above Question 3 Your answer is CORRECT. Given the following sampling distribution: X 20 13 4 6 13 P(X) 3∕100 1∕20 3∕100 2∕25 ___ What is the mean of this sampling distribution? a) 9.4 b) 9.6 c) 9.5 d) 0.1 e) 3.6 f) None of the above Question 4 Your answer is CORRECT. A store sells only two brands of sofas. One of the brands is currently advertised as on sale. The advertisers know that out of the people who come to the store to buy a sofa, every 1 out of 11 will buy the more expensive brand as opposed to the one in the sale advertisement. Let X = price of next sofa sold. What is the expected price of the sofa (E[X]) if the advertised sofa is $200 and the more expensive sofa is $375? a) 359.09 b) 215.80 c) 215.91 produced. The company knows that onetenth of 6 percent of the matches are flawed. What is the probability that a matchbox will have one or fewer matches with a flaw? a) 0.005515 b) 0.006704 c) 0.9940 d) 0.9137 e) 0.9964 f) None of the above Question 10 Your answer is CORRECT. Suppose you have a distribution, X, with mean = 9 and standard deviation = 5. Define a new random variable Y = 8X 4. Find the mean and standard deviation of Y. a) E[Y] = 68; σY = 40 b) E[Y] = 72; σY = 320 c) E[Y] = 72; σY = 36 d) E[Y] = 68; σY = 36 e) E[Y] = 68; σY = 320 f) None of the above Question 11 Your answer is CORRECT. Suppose you have a binomial distribution with n = 27 and p = 0.6. Find P(8 ≤ X ≤ 11). a) 0.0773 b) 0.1130 c) 0.0333 d) 0.2333 e) 0.0130 f) None of the above Question 12 Your answer is CORRECT. Each year a company selects a number of employees for a management training program. On average, 40 percent of those sent complete the program. Out of the 20 people sent, what is the probability that exactly 9 complete the program? a) 0.3597 b) 0.7553 c) 0.8553 d) 0.1597 e) 0.2037 f) None of the above Question 13 Your answer is CORRECT. Each year a company selects a number of employees for a management training program. On average, 40 percent of those sent complete the program. Out of the 29 people sent, what is the probability that 7 or more complete the program? a) 0.1569 b) 0.0233 c) 0.0569 d) 0.9766 e) 0.9430 f) None of the above Question 14 Your answer is CORRECT. A fish tank in a pet store has 22 fish in it. 4 are orange and 18 are white. Determine the probability that if we select 3 fish from the tank, at least 1 will be white. a) 0.0025 b) 0.8181 c) 0.0245 d) 1.2174 e) 0.9974 f) None of the above Question 15 Your answer is CORRECT. Let X be the number of flaws on the surface of a randomly selected boiler of a certain type and suppose X is a Poisson distributed random variable with parameter μ = 5. Find P(2 ≤ X ≤ 5) a) 0.1754 b) 0.5755 c) 0.6305 d) 0.6444 e) 0.4244 f) None of the above