A newspaper report states that the probability of snow

1. A newspaper report states that the probability of snow is .3. After calling the airport you are toldthat if it snows, the probability that your plane will take off on time is 0.40. If it does not snow,the probability that your plane takes off on time is 0.90. Find the probability of your plane takingoff on time.P (on time) =P (snow, on time) or (no snow, on time))Use conditional probability: Let P(Y)=probability of taking off on timeP(Y)=P(Y|Snow) +P (Y|Not Snow)P(Y|snow) = P(Y ? snow)P( snow) P (Y|not snow) = P( Y ? not snow)P(not snow ) Given:P(snow)=therefore P (not snow) =P(Y|snow) =P (Y|not snow) =