A six-sided die is made that has four Green sides and two Red sides, all equally likely to land face up when the die is tossed. The die is tossed three times. Which of these sequences (in the order shown) has the highest probability?
a. Green, Green, Green
b. Green, Green, Red
c. Green, Red, Red
d. They are all equally likely
Q. 2Which of the following quantities does not affect the width of a confidence interval?
a. The confidence level.
b. The sample proportion.
c. The sample size.
d. The population size.
Q. 3Suppose two different states each pick a two-digit lottery number between 00 and 99 (for a 100 possible numbers). What is the probability that both states pick the same number?
a. 2/100
b. 1/100
c. 1/200
d. 1/10,000
Q. 4A random sample of 600 adults is taken from a population of over one million, in order to compute a confidence interval for a proportion. If the researchers wanted to decrease the width of the confidence interval, they could
a. decrease the size of the population.
b. decrease the size of the sample.
c. increase the size of the population.
d. increase the size of the sample.
Q. 5Suppose two different states each pick a two-digit lottery number between 00 and 99 (for a 100 possible numbers). What is the probability that both states pick the number 13?
a. 2/100
b. 1/100
c. 1/200
d. 1/10,000
Q. 6A random sample of 600 adults is taken from a population of over one million, in order to compute a confidence interval for a proportion. If the researchers wanted to decrease the width of the confidence interval, they could
a. decrease the size of the population.
b. decrease the size of the sample.
c. increase the size of the population.
d. increase the size of the sample.
Q. 7A soft drink company holds a contest in which a prize may be revealed on the inside of the bottle cap. The probability that each bottle cap reveals a prize is 0.2 and winning is independent from one bottle to the next. What is the probability that a customer must open three or more bottles before winning a prize?
a. (0.2)(0.2)(0.8) = 0.032
b. (0.8)(0.8)(0.2) = 0.128
c. (0.8)(0.8) = 0.64
d. 1 - (0.2)(0.2)(0.8) = .968