HSC Commerce 12th Board ExamMaharashtra State Board
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# If X Has Poisson Distribution with Parameter M = 1, Find P[X ≤ 1]. (Use E–1 = 0.3679) - HSC Commerce 12th Board Exam - Mathematics and Statistics

#### Question

If X has Poisson distribution with parameter m = 1, find P[X ≤ 1]. (Use e–1 = 0.3679)

#### Solution

We have, the Poisson distribution is given by

p(r)=e-m.m^r/r!

Here                m = 1 (given)

Then P(X ≤ 1) = p(0)+p(1)

= (e^-m.(1)^0)/(0!)+(e^-1(1)^1)/(1!)

=e^-1+e^-1

= 2e-1

=2(0.3679)

e^-1=0.3679 (given)

= 0.7358

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#### APPEARS IN

2017-2018 (March) (with solutions)
Question 4.7 | 2.00 marks

#### Video TutorialsVIEW ALL [1]

Solution If X Has Poisson Distribution with Parameter M = 1, Find P[X ≤ 1]. (Use E–1 = 0.3679) Concept: Regression Propertise.
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