A group of research proposals was evaluated by a panel of experts to decide whether or not they were worthy of funding. When these same proposals were submitted to a second independent panel of experts, the decision to fund was reversed in 20% of the cases. If the probability that a proposal is judged worthy of funding by the first panel is 0.4, what are the probabilities of these events? (a) A worthy proposal is approved by both panels. (b) A worthy proposal is disapproved by both panels. (c) A worthy proposal is approved by one panel.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A group of research proposals was evaluated by a panel of experts to decide whether or not they were worthy of funding. When these same proposals were submitted to a
second independent panel of experts, the decision to fund was reversed in 20% of the cases. If the probability that a proposal is judged worthy of funding by the first panel is
0.4, what are the probabilities of these events?
(a) A worthy proposal is approved by both panels.
(b) A worthy proposal is disapproved by both panels.
(c) A worthy proposal is approved by one panel.
Transcribed Image Text:A group of research proposals was evaluated by a panel of experts to decide whether or not they were worthy of funding. When these same proposals were submitted to a second independent panel of experts, the decision to fund was reversed in 20% of the cases. If the probability that a proposal is judged worthy of funding by the first panel is 0.4, what are the probabilities of these events? (a) A worthy proposal is approved by both panels. (b) A worthy proposal is disapproved by both panels. (c) A worthy proposal is approved by one panel.
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