X = the number of occurrences of a particular event in an interval of time or space. 2x. e-1 P(X = x) : X = 0, 1, 2, 3, ... . x! E(X) = 2, Var(X) = 2. Table III (pp. 580 – 582) gives P(X< x) 1. Traffic accidents at a particular intersection follow Poisson distribution with an average rate of 1.4 per week. What is the probability that the next week is accident-free? b) What is the probability that there will be exactly 3 accidents next week? What is the probability that there will be at most 2 accidents next week?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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X = the number of occurrences of a particular event in an interval of time or space.
2x. e-2
P(X = x) =
X = 0, 1, 2, 3, ....
%3D
х!
Е(X) - 7,
Var(X) = ..
Table III (pp. 580 – 582)
gives
P(X< x)
1.
Traffic accidents at a particular intersection follow Poisson distribution with
an average rate of 1.4
per
week.
a)
What is the probability that the next week is accident-free?
b)
What is the probability that there will be exactly 3 accidents next week?
c)
What is the probability that there will be at most 2 accidents next week?
Transcribed Image Text:X = the number of occurrences of a particular event in an interval of time or space. 2x. e-2 P(X = x) = X = 0, 1, 2, 3, .... %3D х! Е(X) - 7, Var(X) = .. Table III (pp. 580 – 582) gives P(X< x) 1. Traffic accidents at a particular intersection follow Poisson distribution with an average rate of 1.4 per week. a) What is the probability that the next week is accident-free? b) What is the probability that there will be exactly 3 accidents next week? c) What is the probability that there will be at most 2 accidents next week?
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