Use Table A.3, Appendix A, to find the following Poisson distribution values.
Appendix AAppendix A Statistical Tables
(Round your answers to 4 decimal
places.)
a. P(x = 5 | λ = 1.8) =
b. P(x < 5 | λ = 3.9) =
c. P(x ≥ 3 | λ = 2.5) =
d. P(2 < x ≤ 5 | λ = 4.2)
=
Ans:
a)
P(x = 5 | λ = 1.8)=exp(-1.8)*(1.8^5/5!)=0.0260
b)
P(x < 5 | λ = 3.9) = P(x <=4 | λ = 3.9)=Poisson(4,3.9,true)=0.6484
c)
P(x ≥ 3 | λ = 2.5) = 1-P(x <=2 | λ = 2.5)
=1-exp(-2.5)*(2.5^0/0!+2.5^1/1!+2.5^2/2!)
=0.4562
d)
P(2 < x ≤ 5 | λ = 4.2) =exp(-4.2)*(4.2^3/3!+4.2^4/4!+4.2^5/5!)
=0.5429
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