Continuous Probability Distributions (Normal Distribution) Multiple Choice Questions and answers (mcqs)

 1- In 52 cards, Diamonds and Spades are: ?

(A) 13       (B) 6

Option (A) is correct.

Note: Ace and kings are 4.

2- Bernoulli's Distribution has range from: ?

(A) 0,1,2,3,.....,n   (B) 0,1

Option (B) is correct.

3- The Mean of Bernoulli's Distribution is: ?

(A) p         (B) pq

Option (A) is correct.

4- A distribution for which probability is same for each value of success is called as: ?

(A) Bernoulli's Distribution (B) Uniform Distribution

Option (B) is correct.

5- The Function of Uniform Distribution is: ?

(A) P(X) = 1/k   (B) P(X) = k

Option (A) is correct.

6- In Sequence, 1 + 2 + 3 +.....+ n =: ?

(A) n/2           (B) n(n+1)/2

Option (B) is correct.

7- The Mean of Uniform Distribution is: ?

(A) k + 1/2      (B) k/2

Option (A) is correct.

8- Poisson Distribution and Normal Distribution are the Limiting Functions of: ?

(A) Binomial Distribution (B) Bernoulli's Distribution

Option (A) is correct.

9- Standard Normal Variable 'Z' is equal to: ?

(A) X/sigma     (B) X - Mean/sigma

Option (B) is correct.

10- Normal Distribution has range from: ?

(A) - infinity to + infinity    (B) 0 to infinity

Option (A) is correct.

11- Mean Deviation of Normal Distribution is: ?

(A) 4/5 sigma or 0.7979 sigma   (B) 2/3 sigma or 0.6745 sigma

Option (A) is correct.

Note: Must remember that Quartile Deviation of Normal Distribution is 2/3 sigma or 0.6745 sigma.

12- The Total Area under Normal Curve is always: ?

(A) 2           (B) 1

Option (B) is correct.

Note: Many people ask that how can we explain " Total area under normal curve is 1".?

Very easy and simple answer :  0.5 + 0.5 = 1.

13- The Shape of Normal Distribution is: ?

(A) Bell Shaped    (B) Square Shaped

Option (A) is correct.

14- Percentage area between Mean - sigma  and Mean + sigma is: ?

(A) 95.45 %       (B) 68.67 %

Option (B) is correct.

Note: But, Percentage area between Mean - 2 sigma and Mean + 2 sigma is 95.45 %. And, Percentage area between Mean - 3 sigma and Mean + 3 sigma is 99.73 %.

15- When sample size "n" is very large and neither "p" nor "q" is very small, that's called as: ?

(A) Normal Distribution   (B Poisson Distribution

Option (A) is correct.

best of luck!

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