Q1.
Population S.D is an example of
(a) Parameter (b) Statistic (c) Probability distribution
(d) None of these
Solution.
(a) Parameter
Solution
Q2.
P = 0.5 , binomial distribution is
(a) Symmetrical (b) Non - symmetrical (c) Negatively
skewed (d) Positively skewed
(a) Symmetrical
Solution
Q3.
The maximum value of the variance in the case of X ∿ (n,p) .
Solution.
n/4
Solution
Q4.
Which is uniparametric distribution
(a) Binomial (b) Normal (c) Poisson
(d) None of these
Solution.
(c) Poisson
Solution
Q5.
In Binomial maximum value of variance is 10, find E(x) .
Solution.
As we know that the maximum value of variance is
n/4
at P = 0.5
n/4
= 10 , n = 40
so, E(x) = nP = (40)(0.5) = 20
Solution
Q6.
In Binomial distribution with parameters n and P can be approximated by a poisson distribution with parameter (m = nP) if :
(a) n is very long (b) P → 0 (c) n → ∞ and P → 0 , np remains finite
(d) None of these
Solution.
(c) n → ∞ and P → 0 , np remains finite
Solution
Q7.
In Binomial distribution , mean is 4 and 2.5 , is it correct .
Solution.
No, because in Binomial distribution mean > variance .
Solution
Q8.
Area of the normal curve between - ∞ to μ is
Solution.
0.5
Solution
Q9.
An example of statistic is
(a) Population median (b) Sample median (c) Population Q.D
(d) Poisson distribution
Solution.
(b) Sample median
Solution
Q10.
Binomial distribution will be unimodal or bi-modal if n = 7 and P = 1/3
Solution.
= (n + 1)P = 8.(1/3) = 2.67 (non - integer)
So, mode is only 2 (higher included integer)
Binomial distribution is unimodal
Solution
