Question

The probability of an event B given the knowledge that the outcome will be in event A is called the conditional probability of event B given A.
True False

17. The multiplication rule of probability states that
Pr(A∩B)=Pr(B|A)Pr(A)=Pr(A|B)Pr(B)
True False

18. The total probability rule is
Pr(A∩B)=Pr(B|A)Pr(A)
T F

19. Two events A and B are independent with
Pr(A)=Pr(B)=0.5, then Pr(A∩B) is
a. 0.50
b. 0.75
c. 0.20
d. 0.25
20. Bayes’ theorem states that
Pr(A|B)=Pr(B|A)Pr(A)/Pr(B)
True False
21. Random variables can be either discrete or continuous.
T F

Answer 1

17. is true and so is 20.
Others may or may not be.
Easier to handle these as separate questions.

Answer 2

16. True
17. (Not sure. Look up Bayes Theorem on Wiki)
18. False (Total PB is just the sum of all probability. P(A∩B) is just the similar elements between A and B
19. P(A∩B) = P(A)*(PB)=.25
20. True

Answer 3

This isn't a question.

Answer 4

P(A|B) = P(A) if A and B are independent