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Q.

If 6 is mean of poisson distribution then P(X3)=

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a

125e6

b

30e6

c

130e6

d

e3

answer is A.

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Detailed Solution

λ=6

P(X3)=1[P(X=0)+P(X=1)+P(X=2)]

=1[eλ1+eλλ1+eλλ22]

=1eλ[1+λ+λ2/2]

=1eλ[1+6+18]

=125e6

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