Answer to Question #40071 in Statistics and Probability for Abdinasir

Question

There are only
4 possible routes that Paul can use to go from his place to his office.
There is a 30% chance that he will take route 1, 20% chance that he will take route 2,
40% chance that he will take route 3 and 10% chance that he will take route 4 to go to
his office on any given day. He has 50% , 30% , 60% and 10% chance of arriving on time
if he took route 1, 2, 3 and 4 respectively.
a) What is the probability of Paul arriving on time on any selected day?
b) Given that Paul arrived on time on any selected day, what is the probability that
he took route 4.
c) Given that Paul did not arrive on time on any selected day, what is the probability
that he took route 4.