Question

Of the three men, the chances that a politician, a business man or an academician will be appointed as a vice -chancellor (V.C) of a university are 0.5, 0.3, 0.2 respectively .
Probability that research is promoted by these persons if they are appointed as V.C are 0.3, 0.7, and 0.8 respectively.
(i) Determine the probability that research is promoted.
(ii) If the research is promoted, what is the probability that V.C is an academician?

Answer 1

Answer:

don't know what to do with the following

Answer 2

the probability that research is promoted is 0.6

probability that V.C is an academician is 0.66

Step-by-step explanation:

Probability that research is promoted by these persons if they are appointed as V.C are 0.3, 0.7, and 0.8 respectively

then

probability = $\frac{number pf outcome }{total outcome }$

probability (that research is promoted.) = $\frac{0.3+0.7 +0.8}{3}$= 0.6

then

If the research is promoted, what is the probability that V.C is an academician?

probability(V.C is an academician)= $\frac{0.2}{3}$ = 0.66

hence ,  the probability that research is promoted is 0.6

probability that V.C is an academician is 0.66

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