airline

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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An airline is analyzing the punctuality of its scheduled flights. It measures
departures and arrivals and classifies them as early, on time or late. From its
records, no flights depart early and 85% depart on time. Arrivals are early 10% of
the time and late 20% of the time.
(i) Determine the probability that a flight arrives on time
Further explanation shows that
 None of the flights that depart late are early arrivals.
 10% of the flights that depart on time are late arrivals.
(ii) Determine the probability that a flight will arrive early if its departure is on
time.
(iii) Show that the probability that a flight both departs on time and arrives on
time is 0.665. 
(iv)Determine the probability that a flight will arrive on time if it departs late.
(v) Determine the probability that if a flight arrives late it departed on time.

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