Poisson Distribution
Question
Q1.
If a distribution has mean = variance then the distribution is ________ .
Solution.
Poisson distribution
Solution
Q2.
In poisson distribution , if mean is 2, find V(x) .
Solution
V(x) = 2
because in poisson distribution E(x) = V(x)
Solution
Q3.
In a poisson distribution probability of success of random variable 'x' will be
(a) P → 0 (b) P =
1/2
(c) P = 0 (d) None
Solution.
(a) P → 0
Solution
Q4.
Poisson distribution has _______ parameters.
(a) 1 (b) 2 (c) 3 (d) None
Solution.
(a) 1
Solution
Q5.
If mean of poisson distribution is 4.8, then it is uniparametric or biparametric
Solution.
Uniparametric , because mode will be 4 .
Solution
Q6.
If x ∿ P (m1) and y ∿ P (m2) then the distribution of random variable z = x + y will follow
poisson distribution with parameter .
(a) m1 + m2 (b) m1 - m2
(c) m1 . m2 (d) m1/m2
Solution.
m1 + m2
Solution
Q7.
The distribution of the number of printing mistakes per page of a large book. is an example of
(a) Binomial distribution
(b) Poisson distribution
(c) Normal distribution
(d) None
Solution.
(b) Poisson distribution
Solution
Q8.
As past experience the expected number of defectives are 2 out of 100, find V(x), if it follows poisson distribution .
Solution.
mean = E(x) =
2/100
= 0.02
So V(x) = 0.02 , As we know that in poisson distribution E(x) = V(x)
Solution
Q9.
Poisson distribution was initially developed by _________
Solution.
French Mathematician, Simen Denis Poisson
Solution
Q10.
x is a poisson distribution variate with mean 7 and y is also a poisson variate with mean 5.What will be the parametric value
for poisson variate x + y .
(a) 2 (b) 35
(c) 12 (d) 9
Solution.
(c) 12
Solution
