K Rachel 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 probability that her luggage will make the connecting flight is 0.8, but if the flight is delayed, the probability that the luggage will make it is only 0.65. Complete parts a) and b). a) Are the flight leaving on time and the luggage making it to Denver with her independent events? Explain. Yes; the luggage is equally likely to arrive with her whether or not the flight is on time. No; the probability that the luggage arrives with her depends on whether the flight is on time. b) What is the probability that her luggage arrives in Denver with her? (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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K
Rachel 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 probability that her luggage
will make the connecting flight is 0.8, but if the flight is
delayed, the probability that the luggage will make it is only
0.65. Complete parts a) and b).
a) Are the flight leaving on time and the luggage
making it to Denver with her independent
events? Explain.
Yes; the luggage is equally likely to arrive
with her whether or not the flight is on time.
No; the probability that the luggage arrives
with her depends on whether the flight is on
time.
b) What is the probability that her luggage arrives
in Denver with her?
(Round to four decimal places as needed.)
Transcribed Image Text:K Rachel 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 probability that her luggage will make the connecting flight is 0.8, but if the flight is delayed, the probability that the luggage will make it is only 0.65. Complete parts a) and b). a) Are the flight leaving on time and the luggage making it to Denver with her independent events? Explain. Yes; the luggage is equally likely to arrive with her whether or not the flight is on time. No; the probability that the luggage arrives with her depends on whether the flight is on time. b) What is the probability that her luggage arrives in Denver with her? (Round to four decimal places as needed.)
K
Rachel 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 probability that her luggage
will make the connecting flight is 0.8, but if the flight is
delayed, the probability that the luggage will make it is only
0.65. Complete parts a) and b).
a) Are the flight leaving on time and the luggage
making it to Denver with her independent
events? Explain.
Yes; the luggage is equally likely to arrive
with her whether or not the flight is on time.
No; the probability that the luggage arrives
with her depends on whether the flight is on
time.
b) What is the probability that her luggage arrives
in Denver with her?
(Round to four decimal places as needed.)
Transcribed Image Text:K Rachel 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 probability that her luggage will make the connecting flight is 0.8, but if the flight is delayed, the probability that the luggage will make it is only 0.65. Complete parts a) and b). a) Are the flight leaving on time and the luggage making it to Denver with her independent events? Explain. Yes; the luggage is equally likely to arrive with her whether or not the flight is on time. No; the probability that the luggage arrives with her depends on whether the flight is on time. b) What is the probability that her luggage arrives in Denver with her? (Round to four decimal places as needed.)
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