Ith the of a consulting geologist, some historical data have been obtained that provide more precise information on the likelihood of obtaining favorable seismic soundings on similar tracts of land. specifically, when the land contains oil, favorable seismic soundings are obtained 74% of the time. this percentage changes to 30% when the land is dry. a) recalculate unconditional probabilities of favorable and unfavorable seismic soundings. b) recalculate the posterior probabilities for oil and dry given favorable and unfavorable seismic soundings. c) use the corresponding excel template to check your answers to parts (a) and (b).d) find the eve for the seismic sounding using the probabilities given above and determine the new optimal policy for this example.