MCQs on Normal Distribution

 


1.The mean deviation about the mean for normal distribution is 

a)$\small \frac{4}{5}\sigma$ 

b) $\small \frac{5}{4}\sigma$ 

c)$\small \frac{4}{3}\sigma$

Ans: a

2. The mode of the normal distribution is 

a) $\small \mu$ 

b) $\small \mu_{4}$ 

c) $\small \sigma$ 

Ans: a

3. Suppose $\small X_{1}$ and $\small X_{2}$follows normal distribution with mean 0 and sd 1. What will be the distribution of  $small X_{1}$ + $X_{2}$?

a)$\small N(0,1)$

b) $\small N(0,2)$ 

c) $\small N(0,4)$

Ans: b 

MCQs on Rectengular or Uniform distribution, Gamma distribution, Beta distribution

4.If X follows Normal distribution, then what will be the distribution of $\small e^x$ ?
a)Normal 
b)exponential 
c)Log Normal 
Ans: c
5.For Normal Distribution $\small Q.D$:$\small M.D$:$\small S.D$
a)12:10:15 
b)10:12:15 
c)12:15:10 
Ans: b
6.$\small X\sim N(1,9)$; $\small Y\sim N(2,16) $, then The distribution of $\small Z=Y-X$ is 
a) $\small N(1,25)$ 
b)$\small N(2,25)$ 
c)$\small N(4,5)$
Ans: a
7."Normal distribution follows Additive property"- is it true?
a) Yes 
b)No 
c)sometimes 
Ans: a

MCQs on Poisson Distribution

 

8.Normal distribution is limiting case of 
a)Binomial 
b)Poisson 
c) Both 
Ans: c
9.The graph of Normal Distribution is ______________shaped.
a)bell 
b)clock 
c)bowl 
Ans: a
10. For Normal Distribution $\Phi (-z)$=?
a) $1-\Phi (z)$ 
b) $\Phi (z)$ 
c) $1+\Phi (-z)$
Ans: a


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