AP EAMCET · Maths · Statistics
If is a Poisson variate such that then the standard deviation of is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
It is given that, 2P(X=1)=5P(X=5)+2P(X=3), The formula for Poisson PX=r=e-λλrr!. ⇒2e-λλ1!=5e-λλ55!+2e-λλ33! ⇒2=λ424+λ23 ⇒2=3λ4+24λ272 ⇒144=3λ4+24λ2 ⇒λ4+8λ2-48=0 Consider…
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