1. Poisson distribution is a limiting case of ___________________.
a) Negative Binomial b)Geometric c)Hypergeometric
Ans: a
2. Suppose X follows Negative Binomial distribution with the parameters (r,p). Then what will be the distribution of X when r=1?
a) Negative Binomial b)Geometric c)Hypergeometric
Ans: b
3."Geometric distribution follows lack of memory property" is it true or false?
a)True b)False
Ans: a
4) P(X=x)= q^xp; x=0,1,2,........; p\leqslant 1, q=1-p. then var of the X is ____________.
a)\frac{q}{p^2} b)\frac{p}{q^2} c) \frac{p+1}{q^2}
5. Suppose X and Y have geometric distribution. The the distribution of X given X+Y is
a) Uniform b) Negative Binomial c) Binomial
Ans:a
MCQs on Poisson Distribution
6.For Geometric distribution
a) mean>var b) var>mean c) mean=var
7.Suppose X follows Hypergeometric distribution with the parameters n,k,.M,N; k=0,1,2,....,min(n,M). then the mean of the distribution is
a)\frac{nM}{N} b)\frac{kM}{N} c)\frac{nM}{k}
8. Suppose X follows Hypergeometric distribution with the parameters n,k,.M,N;Then X will follow Binomial if
a)N\rightarrow \infty, \frac{M}{N}\rightarrow p b)M\rightarrow \infty, \frac{M}{N}\rightarrow p c)N\rightarrow \infty, \frac{N}{M}\rightarrow p
Ans: a
9.Pgf of Geometric distribution with parameter p; x=0,1,2...... is
a)\frac{p}{1-qs} b) \frac{q}{1-ps} c) \frac{p}{1-ps}
10. The pgf of Nergative Binomial distribution is with parameter r,p.x=0,1,2......
a)[\frac{p}{1-qs}]^r b) [\frac{q}{1-ps}]^r c) [\frac{q}{1-qs}]^r