Please answer the questions clearly
4. (a) Bayes' Theorem is applicable to this problem
Probability that European project is not successful = 1 - 0.7 = 0.3
So, he answer is 0.3 because the events are independent.
(b) P(at least one of the project will be successful) = 1 - P(both projects wont be succssful)
= 1 - P(A') x P(B')
= 1 - (1 - 0.4)x(1 - 0.7)
= 1 - 0.6x0.3
= 1 - 0.18
= 0.82
(c) Bayes' theorem can be used to answer this
P(only Asian project is successful | at least 1 project is successful) = P((A and B') | (A or B))
= P(A and B') / P(A or B)
= (0.4x0.3) / (0.4 + 0.6x0.7)
= 0.12/0.82
= 0.146
5. (a) Probability of an event cannot be negative.
The rule of probability states that for any event A, 0
P(A)
1
(b) Probability rules says that, sum of probabilities within a
sample space must be
1
Here, this rule is violated because, P(blue)+P(green)+P(orange)
= 0.7+0.3+.01
= 1.1 > 1, which is a violation of the above stated rule.
Please answer the questions clearly 4. A company currently has two active projects, one in Asia...
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