Question

.If ‘m’ is the mean of Poisson Distribution, the P(0) is given by -------- *

1 point

1)e-m

2)em

3)e

4)m-e

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Answer 1

Answer:

2) e m

Explanation:

I dont know the correct answer but I tried hope it will help you

Answer 2

Given is the mean of a Poisson distribution, Find the given probability.

Explanation:

• Let's assume that a discrete random variable 'x' follows Poisson distribution for over an infinite number of trials and a small finite probability of success.
• Then the P.M.F (Probability Mass Function) of this random variable 'x' is given by,  $P(x)=\frac{\lambda^xe^{-\lambda}}{x!}$
• Here lambda is the rate parameter and is equal to the mean of the distribution, $\lambda=\mu$
• Now we have a poisson distribution with its mean 'm', Hence we get its P.M.F as   $P(x)=\frac{m^xe^{-m}}{x!}$
• Therefor we get,
• $P(0)=\frac{m^0e^{-m}}{0!}\\ ->P(0)=e^{-m}$       ------>Answer is option(1)