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08 Mar 2015, 20:09
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
74% (02:19) correct
26%
(02:42)
wrong
based on 435
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Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.7. The probability that vice-president Baker will approve the proposal is 0.5. The probability that vice-president Corfu will approve the proposal is 0.4. The approvals of the three VPs are entirely independent of one another.
Suppose the Johnson must get VP Adam’s approval, as well as the approval of at least one of the other VPs, Baker or Corfu, to win funding. What is the probability that Johnson’s proposal is funded?
A. 0.14
B. 0.26
C. 0.49
D. 0.55
E. 0.86
Suppose the Johnson must get VP Adam’s approval, as well as the approval of at least one of the other VPs, Baker or Corfu, to win funding. What is the probability that Johnson’s proposal is funded?
A. 0.14
B. 0.26
C. 0.49
D. 0.55
E. 0.86
09 Mar 2015, 03:30
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Bunuel
Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.7. The probability that vice-president Baker will approve the proposal is 0.5. The probability that vice-president Corfu will approve the proposal is 0.4. The approvals of the three VPs are entirely independent of one another.
Suppose the Johnson must get VP Adam’s approval, as well as the approval of at least one of the other VPs, Baker or Corfu, to win funding. What is the probability that Johnson’s proposal is funded?
A. 0.14
B. 0.26
C. 0.49
D. 0.55
E. 0.86
Kudos for a correct solution.
Suppose the Johnson must get VP Adam’s approval, as well as the approval of at least one of the other VPs, Baker or Corfu, to win funding. What is the probability that Johnson’s proposal is funded?
A. 0.14
B. 0.26
C. 0.49
D. 0.55
E. 0.86
Kudos for a correct solution.
when you summarize the qn, it is a case of atleast 2 approvals. And the case here is approval of Adam's is mandatory.
So the probability of approval is
=P(Adam, Baker, Cofu) + P(Adam, Baker', Cofu) + P(Adam, Baker, Cofu')
= 0.7*0.5*0.4 + 0.7*0.5*0.4 + 0.7*0.5*0.6
= 0.49
Option C
General Discussion
08 Mar 2015, 22:33
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Hi
So in this question the situation is as follows
P of approval for Adam's = (P Johnson approves)*(P Baker approves) + (P Johnson approves)*(P corfu approves)
= (0.7*0.3) + (0.7*0.4) = 0.49
So in this question the situation is as follows
P of approval for Adam's = (P Johnson approves)*(P Baker approves) + (P Johnson approves)*(P corfu approves)
= (0.7*0.3) + (0.7*0.4) = 0.49
