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Sunday, January 31, 2021

Discrete Probability Distributions Multiple Choice Questions and answers (mcqs)

 1- All Trials are Independent in: ?

(A) Binomial Experiment (B) Hypergeometric Experiment

Option (A) is correct.

Note: But, all Trials are Dependent in Hypergeometric Experiment.

2- In Binomial Experiment, drawing is done: ?

(A) With Replacement (B) Without Replacement

Option (A) is correct.

Note: But, In Hypergeometric Experiment, drawing is done Without Replacement.

3- Binomial Distribution has range from: ?

(A) 0,1,2,.....infinity (B) 0,1,2,......n

Option (B) is correct.

Note: Must remember that also Hypergeometric Distribution has range from 0,1,2,......n.

4- The Probability of failure 'q' is equal to: ?

(A) 1- p (B) 1-q

Option (A) is correct.

5- The Variance of Binomial Distribution is: ?

(A) npq (B) np

Option (A) is correct.

Note: But, In Binomial Distribution, Mean = np.

6- For Negative Binomial Distribution, Mean and Variance have a relation: ?

(A) Mean > Variance (B) Mean < Variance 

Option (B) is correct.

Note: Must focus on that's, In Binomial Distribution, always Mean > Variance.

7- The Mean of Hypergeometric Probability Distribution is: ?

(A) nk/N (B) npq

Option (A) is correct.

8- In Hypergeometric Probability Distribution, Probability 'p' is equal to : ?

(A) k/N   (B) k/n

Option (A) is correct.

Note: Attention!!

Now, I am going to tell you most Important points which nobody tells you about that. Must remember that In sense of Problems solving, In case of With Replacement , always use the formula of Binomial Distribution. But, In case of Without Replacement , always use the formula of Hypergeometric Distribution.

9- If 'n' becomes very large and the probability of success "p" is very small, then that's type of Distribution is defined as: ?

(A) Normal Distribution (B) Poisson Distribution

Option (B) is correct.

Note : For example, in problems solving,, n=500 and p=0.01. then we always use Poisson Distribution.

10- In Poisson Distribution, Mean and Variance have a relation: ?

(A) Mean = Variance (B) Mean < Variance

Option (A) is correct.

Note: Must remember that In Poisson Distribution, Mean = np and Variance = np.

11- The Product of N and P(X) ; NP(X) is equal to: ?

(A) Expected Frequency (B) Observed Frequency

Option (A) is correct.

12- In Poisson Process, Average number of occurances per unit time is equal to: ?

(A) Lemda (B) t

Option (A) is correct.

Note: t shows 'time interval".



best of luck!!


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Multiple Choice Questions and answers