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MCQs on Exponential Distribution Cauchy distribution



1.If the parameter of the exponential distribution is \theta, then the condition of var=mean of the distribution is 

a)\theta=0b)\theta>0c) \theta<0

Ans: a

2.If, X_{i}'s are following exponential distribution then what is the distribution of Z=min(X_{1},X_{2},....X_{n})?

a)Exponential b)Normal c)Gamma 

Ans: a

3.Exponential distribution follows____________________.

a)Lack of memory property b)Symmetric property c)additive property

Ans: a 

4.If X has Cauchy distribution, The the distribution of X^2 is 

a)Normal b)Exponential c)Beta 

Ans: c

5. If X\sim N(0,1) and Y\sim N(0,1), then the distribution of X/Y is 

a) Cauchy b) Normal c) Beta 

Ans: a

6.Which of the following distribution don't have any mean?

a) Cauchy b) Exponential c) Normal 

Ans: a

7. Does the exponential distribution follows additive property?

a)Yes b)No 

Ans: a

8.The arithmetic mean of the X_{i}\sim Cauchy follows 

a) Gamma b) Beta c) Cauchy 

Ans: c

9.The characteristics function of standard Cauchy distribution is 

a) e^{-\left | t \right |} b) e^{\left | t \right |} c) e^{-\left | t^2 \right |}

Ans: a

10.The range of the exponential distribution with parameter \theta is  

a)\theta>0, x>0 b) \theta<0, x>0c) \theta>0, x<0 

Ans: a

 


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