3. The probability that train one is on time is 0.95 while the probability that train two is on
time is 0.93. The probability that both are on time is 0.90.
NOTE: If you find it helpful, you may summarize the results in a contingency table for a
hypothetical 100 trips.
(a) What is the probability that at least one train is on time?

(c) What percentage of time is train two not a time?

(b) Given that train one is on time, what is the probability that train two will be on time?

(d) Are the events "train one is on time" and "train two in on time" disjoint events? Explain.