Question

The probabilities that stock A will rise in price is 0.46 and that stock B will rise in price is 0.54. Further, if stock B rises in price, the probability that stock A will also rise in price is 0.16. a. What is the probability that at least one of the stocks will rise in price? (Round your answer to 2 decimal places.) Probability b. Are events A and B mutually exclusive? Yes because $P(A|B) = P(A)$. Yes because $P(A cap B) = 0$. No because $P(A|B) eq P(A)$. No because $P(A cap B) eq 0$. c. Are events A and B independent? Yes because $P(A|B) = P(A)$. Yes because $P(A cap B) = 0$. No because $P(A|B) eq P(A)$. No because $P(A cap B) eq 0$.

          The probabilities that stock A will rise in price is 0.46 and that stock B will rise in price is 0.54. Further, if stock B rises in price, the probability that stock A will also rise in price is 0.16.
a. What is the probability that at least one of the stocks will rise in price? (Round your answer to 2 decimal places.)
Probability
b. Are events A and B mutually exclusive?
Yes because $P(A|B) = P(A)$.
Yes because $P(A cap B) = 0$.
No because $P(A|B) 
eq P(A)$.
No because $P(A cap B) 
eq 0$.
c. Are events A and B independent?
Yes because $P(A|B) = P(A)$.
Yes because $P(A cap B) = 0$.
No because $P(A|B) 
eq P(A)$.
No because $P(A cap B) 
eq 0$.

The probabilities that stock A will rise in price is 0.46 and that stock B will rise in price is 0.54. Further, if stock B rises in price, the probability that stock A will also rise in price is 0.16.
a. What is the probability that at least one of the stocks will rise in price? (Round your answer to 2 decimal places.)
Probability
b. Are events A and B mutually exclusive?
Yes because P(A|B) = P(A).
Yes because P(A cap B) = 0.
No because P(A|B)
eq P(A).
No because P(A cap B)
eq 0.
c. Are events A and B independent?
Yes because P(A|B) = P(A).
Yes because P(A cap B) = 0.
No because P(A|B)
eq P(A).
No because P(A cap B)
eq 0.

Added by Kimberly B.

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