S) Suppose that A and B are mutually exclusive events for which P(A) = 0.3 and…
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Question “S) Suppose that A and B are mutually exclusive events for which P(A) = 0.3 and…”
Answer
Solution:
3 It is assumed that A and B are mutually-exclusive events, for which P(A = 0.3) and P(B = 0.5.
Below are the probabilities. We have the following information:
(as P(Either A, or B happens)):
(b). P(A happens and B doesn’t occur):
(c), P(Both A & B occur):
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4) A forest contains twenty elk. Five of them are captured and tagged before being released. Four elk are eventually captured from this population. We must determine the probability of exactly two of these being tagged, and also mention our assumptions.
We have: Total number of elk forest = 20; Number of elk caught, tagged, and then released = 5.
According to the problem,
Let “A” be the event denoting exactly 2 elk are tagged
out of 4 which are captured from the population.
Prob. that exactly 2 elk are tagged out of 4 captured from the
population =
0.21672………………………….(Ans)
The assumptions
that are made while calculating the required probability
:
1) The number of trials (number of elk captured) is
fixed.
2) Each elk in the population has equal probability of
being chosen.
3) The trials are independent, i.e., event of choosing
one elk does not affect the event of choosing another
elk.
4) No elk was born or dead in the period of capturing
the elks.
5) The above given event follows a Binomial
Distribution.
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Conclusion
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