23. A group of UTEP faculty submitted a grant proposal to the National Science F

Question

23. A group of UTEP faculty submitted a grant proposal to the National Science Foundation. They estimate initially that the probability of receiving funding is 20% They just found out that their proposal moved to the second review panel. In the last two years, 70% of the rants that received funding moved to the second ew panel, while 42% of the grants that did not ceive funding moved to the second review panel. hat is the probability that a proposal does not go to e second review panel? a) 33.6% b) 29.4% c) 67.2% d) 52.4% e) 12.8% 24. What is the revised probability of the UTEP proposal receiving funding given it went to the second review panel? a) 33.6% b) 29.4% c) 67.2% d) 52.4% e) 12.8%

Explanation / Answer

23)

proposal of not getting second review panel =P(receive fund and not go to second review panel+not receive fund and not go into secnd review panel)=0.2*0.3+0.8*(1-0.42)=0.524

option D

24)

P(receiving fund| went to second reveiw panel)

=P(receiving fund and went to second reveiw panel)/P(went to second reveiw panel) =0.2*0.7/(1-0.524)=0.294

option B

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