You fly from Phila to SF with a connection in Dallas. The probability that your flight from Phila to Dallas is on time is .8. If you arrive on time, then the probability that your luggage makes the connection to SF is .9. If you are delayed, then the chance of your luggage making the connection with you is .5. In either case, you make the flight. A) What is the probability that your luggage is there in SF to meet you? B) If luggage is not there in SF, what is the probability that you were late in arriving to Dallas?