Question

an airline has 82% of its flights depart on.schedule. it has 65% of its flights depart and arrive on schedule. find the probability that a flight departs on schedule also arrives on schedule. round the answer go two decimal places. (1 point)

Answer 1

Let D be the event 'departs on schedule' and let A be the event 'arrives on schedule'.
\[\large P(D)=0.82\]
\[\large P(D \cap A)=0.65\]
\[\large P(A)=\frac{P(D \cap A)}{P(D)}=\frac{0.65}{0.82}\]
\[\large P(D \cup A)=P(D)+P(A)-P(D \cap A)\]
The probability that a flight that departs on schedule also arrives on schedule is therefore:
\[\large P(D \cup A)=0.82+\frac{0.65}{0.82}-0.65=you\ can\ calculate\]