If events A and B are mutually exclusive (disjoint) then

If events A and B are mutually exclusive (disjoint) then
 a. they must also be independent.
  b. they cannot also be independent.
  c. they must also be complements.
  d. they cannot also be complements.

Q. 2

In a past General Social Survey, 87 of a random sample of n = 990 respondents answered yes to the question Would you approve of an adult male punching a stranger if the stranger had broken into the man's house? A 99 confidence interval for the proportion of all Americans who approve of punching an intruder is
 a. 0.852 to 0.888
  b. 0.849 to 0.891
  c. 0.845 to 0.895
  d. 0.842 to 0.898

Q. 3

Which of the following is not necessarily true for independent events A and B?
 a. P(A and B) = P(A)P(B)
  b. P(AB)=P(A)
  c. P(BA)=P(B)
  d. P(A or B) = P(A) + P(B)

Q. 4

In a past General Social Survey, 87 of a random sample of n = 990 respondents answered yes to the question Would you approve of an adult male punching a stranger if the stranger had broken into the man's house? A 95 confidence interval for the proportion of all Americans who approve of punching an intruder is
 a. 0.852 to 0.888
  b. 0.849 to 0.891
  c. 0.845 to 0.895
  d. 0.842 to 0.898

Q. 5

Thirty percent of the students in a high school face a disciplinary action of some kind before they graduate. Of those students, 40 go on to college. Of the 70 who do not face a disciplinary action, 60 go on to college. Given that a randomly selected student goes on to college, what is the probability that he or she faced a disciplinary action?
 a. 0.12
  b. 0.22
  c. 0.30
  d. 0.78

Q. 6

In a survey of n = 950 randomly selected individuals, 17 answered yes to the question Do you think the use of marijuana should be made legal or not? A 99 confidence interval for the proportion of all Americans in favor of legalizing marijuana is
 a. 0.150 to 0.190
  b. 0.146 to 0.194
  c. 0.142 to 0.198
  d. 0.139 to 0.201