Luggage Leah is flying from Boston to Denver with aconnection in Chicago. The probability her first flight leaves on time is 0.15. If the flight is on time, the prob-ability that her luggage will make the connecting flight in Chicago is 0.95, but if the first flight is delayed, the prob-ability that the luggage will make it is only 0.65. a) Are the first flight leaving on time and the luggagemaking the connection independent events? Explain.b) What is the probability that her luggage arrives inDenver with her?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Luggage Leah is flying from Boston to Denver with a
connection in Chicago. The probability her first flight
leaves on time is 0.15. If the flight is on time, the prob-
ability that her luggage will make the connecting flight in
Chicago is 0.95, but if the first flight is delayed, the prob-
ability that the luggage will make it is only 0.65.
a) Are the first flight leaving on time and the luggage
making the connection independent events? Explain.
b) What is the probability that her luggage arrives in
Denver with her?
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