Which of the following states that the proportion of occurrences with a particular outcome converges to the probability of that outcome?
Your Answer Score Law of large numbers Correct 1.00
Law of averages
General addition rule
Bayes’ theorem
Total 1.00 / 1.00
Question 2
Shown below are four Venn diagrams. In which of the diagrams does the shaded area represent A and B but not C?
Your Answer Score Explanation
Correct 1.00 We need the area common to events A and B to
portion common to event C: “A and B but not C
Total 1.00 /
1.00
Question ExplanationThis question refers to the following learning objective:
Draw Venn diagrams representing events and their probabilities.
Question 3
Each choice below shows a suggested probability distribution for the method
of access to online course materials (desktop computer, laptop computer, tablet, smartphone). Determine which is a proper probability distribution.
Your Answer Score Explanation desktop computer: 0.15, laptop computer: 0.50,
tablet: 0.30, smartphone: 0.20
desktop computer: 0.25, laptop computer: 0.35, tablet: 0.15, smartphone: 0.25 Correct 1.00 Sum of all probabiliti
must be a value betw
desktop computer: 0.20, laptop computer: 0.20,
tablet: 0.20, smartphone: 0.20
desktop computer: 0.30, laptop computer: 0.40,
tablet: 0.35, smartphone: -0.05
Total 1.00 /
1.00
Question 4
Last semester, out of 170 students taking a particular statistics class, 71
students were “majoring” in social sciences and 53 students were majoring in
pre-medical studies. There were 6 students who were majoring in both
pre-medical studies and social sciences. What is the probability that a
randomly chosen student is majoring in pre-medical studies, given that s/he is
majoring in social sciences?
Your Answer Score Explanation
6/53
6/170
6/71 Correct 1.00 If M is the event a student is majoring in pre-medical stud
in social sciences, then calculate P(M|S)=P(M&S)P(S)=6 (71+53−6)/170
Total 1.00 /
1.00
Question 5
Which of the following is false?
Your Answer Score Explanation If two outcomes of a random
process (both with probability
greater than 0) are mutually
exclusive, they are not
necessarily complements.
If two events (both with probability greater than 0) are mutually exclusive, they could be independent. Correct 1.00 Mutually exclusive events may be compleme
probability of a Head and a Tail are both 0.5
not be if there are more than two possible o
voter might be Democrat, Republican, or Ind
Republican are mutually exclusive but not co
exclusive events cannot be independent; the
one event occurs we know the other one can
If the probabilities of two
