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