Question
Mathematics Question on Differential equations
Consider a Poisson distribution for the tossing of a biased coin. The mean for this distribution is μ. The standard deviation for this distribution is given by ______.
A
(A) μ
B
(B) μ2
C
(C) μ
D
(D) 1μ
Answer
(A) μ
Explanation
Solution
Explanation:
Poisson distribution formula,P(x)=e−λλxx!where λ= mean value of occurrence within an interval P(x)= probability of x occurrence within an interval For Poisson Distribution we haveMean = Variance = (Standard Deviation)2∴ Standard Deviation = Mean =μHence, the correct option is (A).