Question

If for a poisson variable x f(2)=f(4)×3 then variance of x​

Answer 1

Answer:

x=6

Step-by-step explanation:

xf(2)=f(4)×3

xf(2)=f12

x=f12/f2

x=6

Answer 2

Answer: variance of X is 2

Step-by-step explanation:

f(2) = 3f(4)

f(x=2) = 3f(x=4)

f(r=2) = 3f(r=4)

(e^-m.m^2)/2! = 3[(e^-m.m^4)/4!]

(m^2)/2.3 = (m^4)/4.3.2

4(m^2) = m^4

putting m=2 on both the sides

4(2^2) = 2^4

variance of x = mean of x = 2