Question

In a Poisson distribution if 2=0.5 find P(X = 1)
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Answer 1

ANSWER

Correct option is

C    

32

​

,  

3

​

 

2

​

 

Poisson's distribution implies

P(X=n)=  

n!

λ  

n

e  

−λ

 

​

 

Where mean=variance=λ

Hence P(x=2)=9P(x=4)

9  

4!

λ  

4

e  

−λ

 

​

=  

2!

λ  

2

e  

−λ

 

​

 

9λ  

2

=12

λ  

2

=  

3

4

​

 

λ=  

3

​

 

2

​

 

Hence mean = variance =  

3

​

 

2

​