Question

The probabilities that stock A will rise in price is 0.53 and that stock B will rise in price is 0.47. Further, if stock B rises in price, the probability that stock A will also rise in price is 0.44. a. What is the probability that at least one of the stocks will rise in price? (Round your answer to 2 decimal places.) b. Are events A and B mutually exclusive? Yes because P(A | B) = P(A). Yes because P(A ∩ B) = 0. No because P(A | B) ≠ P(A). No because P(A ∩ B) ≠ 0. c. Are events A and B independent? Yes because P(A | B) = P(A). Yes because P(A ∩ B) = 0. No because P(A | B) ≠ P(A). No because P(A ∩ B) ≠ 0.

Name: the probabilities that stock a will rise in price is 053 and that stock b will rise in price is 047 further if stock b rises in price the probability that stock a will also rise in price is 67585
Uploaded: 2022-02-02T18:50:14-08:00
Duration: 5 min 3 s
Channel: Azat Nurmukhametov
Description: the probabilities that stock a will rise in price is 053 and that stock b will rise in price is 047 further if stock b rises in price the probability that stock a will also rise in price is 67585

          The probabilities that stock A will rise in price is 0.53 and
that stock B will rise in price is 0.47. Further, if stock B rises
in price, the probability that stock A will also rise in price is
0.44.
a. What is the probability that at least one
of the stocks will rise in price? (Round your answer
to 2 decimal places.) 
b. Are events A and B mutually
exclusive?
Yes because P(A | B)
= P(A).
Yes because P(A ∩ B) =
0.
No because P(A | B)
≠ P(A).
No because P(A ∩ B) ≠
0.
c. Are events A and B independent?
Yes because P(A | B)
= P(A).
Yes because P(A ∩ B) =
0.
No because P(A | B)
≠ P(A).
No because P(A ∩ B) ≠
0.

Added by Sandra C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Azat Nurmukhametov

02/02/2022

Step 1

The probability that at least one of the stocks will rise in price can be calculated by adding the probabilities of each event occurring separately and then subtracting the probability of both events occurring together. P(A or B) = P(A) + P(B) - P(A and B) We Show more…

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The probabilities that stock A will rise in price is 0.53 and that stock B will rise in price is 0.47. Further, if stock B rises in price, the probability that stock A will also rise in price is 0.44. a. What is the probability that at least one of the stocks will rise in price? (Round your answer to 2 decimal places.) b. Are events A and B mutually exclusive? Yes because P(A | B) = P(A). Yes because P(A ∩ B) = 0. No because P(A | B) ≠ P(A). No because P(A ∩ B) ≠ 0. c. Are events A and B independent? Yes because P(A | B) = P(A). Yes because P(A ∩ B) = 0. No because P(A | B) ≠ P(A). No because P(A ∩ B) ≠ 0.