Whether a grant proposal is funded quite often depends on the reviewers
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Whether a grant proposal is funded quite often depends on the reviewers

6. Whether a grant proposal is funded quite often depends on the reviewers. Suppose a group of research proposals was evaluated by a group of experts as to whether the proposals were worthy of funding. When these same proposals were submitted to a second independent group or experts, the decision to fund was reversed in 30% of the cases. If the probability that a proposal is approved for funding by the first peer review group is .2, what are the probabilities of these events?

A. Proposal is approved by both groups

B. Proposal disapproved by both groups

C. Proposal is approved by only one group

Hint

a. P(A AND B)

 = P(B|A)*P(A)

 = 0.7*0.2

 = 0.14

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