Question

if for a poisson variate x, P(x=0)=P(x=1)=k, prove that k=1/e​

Answer 1

Answer:

ANSWER

P(X=0)=0.1 and P(X=2)=0.2

P(0;μ)=

0!

e

−μ

μ

0

=e

−μ

= 0.1

P(2;μ)=

2!

e

−μ

μ

2

=0.2

=>

2

0.1μ

2

=0.2

=> μ =2

The parameter is mean (μ) in Poisson distribution, so = 2