danielzgame
22.02.2020 •
Mathematics
The probabilities that stock A will rise in price is 0.59 and that stock B will rise in price is 0.41. Further, if stock B rises in price, the probability that stock A will also rise in price is 0.61. 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? c. Are events A and B independent?
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Ответ:
a The probability that at least one of the stocks will rise is 0.75
b The two given events can be seen to be not mutually exclusive
c The two given events can be seen to be not independent
Step-by-step explanation:
The probability that stock A will rise in price is, p(A) = 0.59
The probability that stock B will rise in price is, p(B) = 0.41
Given that stock B price goes up the stock A price will also go up is,
p(A | B) = 0.61.
a.) Now we know that
p(A | B) = = 0.61 .
Therefore = p(B) ×0.61 = 0.41 × 0.61 = 0.25
the probability that at least one of the stocks will rise
= p( A ∪ B)
= p(A) + P(B) -
= 0.59 + 041 - 0.25
= 0.75
b.) For mutually exclusive events we know that p(A | B) = 0 and this is not true in this case as p(A | B) = 0.61
The two events cannot be said to be mutually exclusive
c.) for independent events
If the two events have independence then
p(A|B) =
Therefore the events A and B are not independent.
Ответ:
A
Step-by-step explanation:
5 x 7 x 8 x 9
5 x 7 = 35
35 x 8 = 280
280 x 9 = 2520