wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If X is a poisson variate and P(X=1)=2P(X=2), then P(X=3)=X

A
e16
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
e22
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
e12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
e13
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is D e16
p(k)=λkeλk!
Now it is given that
P(1)=2P(2)
λ.eλ1=2λ2.eλ2!
λ=2λ22
λ(1λ)=0
λ=0 or λ=1
If λ=1, then P(3)=13.e13!
=e16

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Algebra of Limits
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon