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

If X is a Poisson variate such that P(X=1)=P(X=2) then P(X=4)=

A
12e2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
13e2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
23e2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
1e2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is D 23e2
P(x;μ)=eμμxx!
P(X=1)=P(X=2)

eμμ11!=eμμ22!

μ=2
P(X=4)=e2244!=23e2

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Integration as Anti-Derivative
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon