In probability, if P(A) = 0, then A is: MCQ with Answer and Explanation

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In probability, if P(A) = 0, then A is:

A. Independent of any other event

B. Both B and C are correct

C. A sure event

D. An impossible event

Answer: Option B

Solution (By JKSSB Mock Tests)

An impossible event has probability 0, and it is independent of any event because P(A∩B)=0 = P(A)P(B).

This question belongs to: Accountancy and Statistics Statistics

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Question #1

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Assertion (A): Fisher's ideal index satisfies both time reversal and factor reversal tests. Reason (R): Fisher's index is the geometric mean of Laspeyres and Paasche indices. Choose the correct option:

A. A is true, R is false

B. A is false, R is true

C. Both A and R are true, but R is not the correct explanation of A

D. Both A and R are true, and R is the correct explanation of A

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Correct Answer: Option D

Explanation:
Fisher's index indeed satisfies both tests, and the formula (geometric mean) is the reason it meets these tests.

This question belongs to: Accountancy and Statistics Statistics

Question #2

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A set of 9 numbers has mean 12. If a number 15 is removed, the new mean is:

A. 13.0

B. 11.625

C. 12.0

D. 11.5

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Correct Answer: Option B

Explanation:
Sum initially = 9 × 12 = 108. After removing 15, sum = 93, n = 8. New mean = 93/8 = 11.625.

This question belongs to: Accountancy and Statistics Statistics

Question #3

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Sturges' rule for the number of classes k is:

A. k = 3.322 log₁₀ N

B. k = 1 + 3.322 log₁₀ N

C. k = log₁₀ N

D. k = 1 + 2.322 log₁₀ N

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Correct Answer: Option B

Explanation:
The formula k = 1 + 3.322 log₁₀ N gives an approximate optimal number of classes.

This question belongs to: Accountancy and Statistics Statistics

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