In a Poisson distribution, mean = variance. If the mean is 4, the probability of exactly 2 occurrences is: MCQ with Answer and Explanation

In a Poisson distribution, mean = variance. If the mean is 4, the probability of exactly 2 occurrences is:
A. 0.2
B. 0.1
C. e^{-4} 4^2 / 2! ≈ 0.1465
D. 0.3
Answer: Option C
Solution (By JKSSB Mock Tests)
P(X=2) = e^{-4} × 16 / 2 = 8 e^{-4} ≈ 8×0.0183=0.1465.

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Statistics Questions

Question #1
Cost of Living Index numbers are also known as:
A. Index of industrial production
B. Sensex
C. Wholesale price index
D. Consumer price index

Correct Answer: Option D


Explanation:
Cost of Living Index measures changes in retail prices of goods and services consumed by households, essentially the Consumer Price Index.

This question belongs to: Accountancy and Statistics Statistics
Question #2
Which index number formula satisfies both time reversal and factor reversal tests?
A. Laspeyres index
B. Simple aggregative index
C. Fisher's ideal index
D. Paasche index

Correct Answer: Option C


Explanation:
Fisher's ideal index, being the geometric mean of Laspeyres and Paasche indices, is the only common formula that satisfies both time reversal and factor reversal tests, ensuring mathematical consistency.

This question belongs to: Accountancy and Statistics Statistics
Question #3
For two attributes, the number of ultimate class frequencies is:
A. 9
B. 4
C. 2
D. 8

Correct Answer: Option B


Explanation:
With two attributes, there are 2² = 4 mutually exclusive classes (AB, Aβ, αB, αβ).

This question belongs to: Accountancy and Statistics Statistics