If P(1) = P(3) in Poisson’s distribution, what is the mean?
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Answer:
the mean of posions distrubed
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mean is "√6"
To Find:
If P(1) = P(3) in Poisson’s distribution, what is the mean?
a) √2
b) √3
c) √6
d) √7
Explanation:
Poisson’s distribution formula:
P(x) = (e^−λ)(λ^x)/x!
substituting 3 in p(x)
- P(3) = (e^−λ)(λ^3)/3!
substituting 1 in p(x):
- P(1) = (e^−λ)(λ^1)/1!
from above equations,
P(1) = p(3)
⇒λ=λ³/6
= √6
hence, mean is √6
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