The number of deaths caused by accidents on a stretch of motorway have been measured for the 30 years since its construction. The results are shown in the table below. Deaths 0 1 2 3 -Years 15 10 4 1 If X is the random variable representing the number of deaths, show that it has a Poisson distribution and determine its mean value and standard deviation.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 7E
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The number of deaths caused by accidents on a stretch of motorway have
been measured for the 30 years since its construction. The results are
shown in the table below.
Deaths
0
1
3
-Years
15
10
4
1
If X is the random variable representing the number of deaths, show that
it has a Poisson distribution and determine its mean value and standard
deviation.
Transcribed Image Text:The number of deaths caused by accidents on a stretch of motorway have been measured for the 30 years since its construction. The results are shown in the table below. Deaths 0 1 3 -Years 15 10 4 1 If X is the random variable representing the number of deaths, show that it has a Poisson distribution and determine its mean value and standard deviation.
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