c) Find the mean and variance of flights delayed per hour.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Question 1
British Travel Agency has asked a junior manager to investigate flight delays during the week before
Christmas at Heathrow Airport. The random variable X is the number of flights delayed per hour. The
results are shown in the following table.
8 9
p(x) 0.10 0.08 0.07 0.15 0.12 0.08 0.10 0.12 0.08 0.10
1
2
3
4
5
6 7
a) Show that the probability distribution is well defined and derive the cumulative probability distri-
[4 marks]
bution.
b) Find the probability that there would be three through seven (inclusive) delayed flights per hour?
[2 marks]
c) Find the mean and variance of flights delayed per hour.
[4 marks]
Transcribed Image Text:Question 1 British Travel Agency has asked a junior manager to investigate flight delays during the week before Christmas at Heathrow Airport. The random variable X is the number of flights delayed per hour. The results are shown in the following table. 8 9 p(x) 0.10 0.08 0.07 0.15 0.12 0.08 0.10 0.12 0.08 0.10 1 2 3 4 5 6 7 a) Show that the probability distribution is well defined and derive the cumulative probability distri- [4 marks] bution. b) Find the probability that there would be three through seven (inclusive) delayed flights per hour? [2 marks] c) Find the mean and variance of flights delayed per hour. [4 marks]
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