Question

Let x be the number of tree seedlings in a randomly selected one square meter plot...

Let x be the number of tree seedlings in a randomly selected one square meter plot in a forest. Suppose that x has a Poisson distribution with λ = 5, which corresponds to an average of five seedlings per square meter. Find the probability that a randomly selected one square meter plot contains no seedlings.

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Answer #1

Sol:

X~number of tree seedlings in a randomly selected one square meter plot in a forest.

mean= λ = 5

P(X=0)

By poisson distribution P(X=x)=e^- λ* λ^x/x!

x=0 and  λ=5 given

P(X=0)=e^-5*5^0/0!

=0.0067

ANSWER:0.0067

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