At a particular university, a study has shown that students who live on campus are more likely to have GPAs over 3.0 than students who do not. A freshman at this university is randomly selected at the beginning of the fall term. Define events A = the student lives on campus, and B = the student has a GPA over 3.0 at the end of the fall term. According to the housing office, P(A) = .80 . Which statement is definitely true about P(BA) based on this information?
a. P(BA) = .80
b. P(BA) is greater than P(Bnot A)
c. P(BA) is less than P(Bnot A)
d. P(BA) = P(Bnot A)
Q. 2A football player is randomly selected from all NCAA Division I college teams. Define the events D = the football player plays defense and T = the football player is over 6 feet tall. Suppose that we also know that of all NCAA Division I football players, 15 are shorter than 6 feet. What do we know about events D and T?
a. They are independent events.
b. They are dependent events.
c. They are disjoint events.
Q. 3A football player is randomly selected from all NCAA Division I college teams. Define the events D = the football player plays defense and T = the football player is over 6 feet tall. Suppose the percentage of football players who play defense that are shorter than 6 feet tall is only 8. How do write this statement using events D and T?
Q. 4A football player is randomly selected from all NCAA Division I college teams. Define the events D = the football player plays defense and T = the football player is over 6 feet tall. How do we interpret the probability P(DT)?
Q. 5A student is randomly selected from a large college. Define the events C = the student owns a cell phone and I = the student owns an iPod. Suppose you know that your friend's sister, who attends this college, owns a cell phone and you are wondering what would be the chance that she owns an iPod. What type of probability would this be?
a. A probability of independent events.
b. A probability of dependent events.
c. A conditional probability.
d. A probability of disjoint events.
Q. 6A student is randomly selected from a large college. Define the events C = the student owns a cell phone and I = the student owns an iPod. Which of the following is the correct notation for the percentage of students who own a cell phone but not an iPod?
a. P(CI)
b. P(CIC)
c. P(CC and I)
d. P(C and IC)
Q. 7A student is randomly selected from a large college. Define the events C = the student owns a cell phone and I = the student owns an iPod. Which of the following is the correct interpretation of the probability P(IC)?
a. The chance that a randomly selected student owns an iPod.
b. The percentage of students who own both a cell phone and an iPod.
c. The proportion of students who own a cell phone who also own an iPod.
d. The relative frequency of iPod owners who own a cell phone.
Q. 8A student is randomly selected from a large college campus. Define the events H = the student has blond hair and E = the student has blue eyes. The chance that a blond haired student has blue eyes equals 75. How do we write this probability?
a. P(H) = 0.75
b. P(E) = 0.75
c. P(EH) = 0.75
d. P(HE) = 0.75
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