Question

3. (10 pts) A certain weather forecaster is correct 80% of the time when he forecasts rain and 90% of the time when he forecasts sun. Given the climate in his area. 30% of his forecasts are for rain and 70% are for sun. Suppose it rained yesterday. What is the probability that yesterday's forecast actually called for rain? a. 0.1987

Answer 1

1 Cbfe evenk hat e tore coptor is corect Let RSh a event ha Ra forecact Rai'n b Ln Des fa ivaly PC SR)-&o o.So PCC/s) =90= Gida PCR) = 30 = 0.30 To fin d oy bagyes Rute PCC/R).PCR PC R/C) PCe/R) PCR) PCIS) PCS) 80X0.3o 80x0-30 +0.g0x0-70 6.275