If P(A)=0.4, P(B)=0.5, and P(A∩B)=0.2, then P(A'∩B') is: MCQ with Answer and Explanation

If P(A)=0.4, P(B)=0.5, and P(A∩B)=0.2, then P(A'∩B') is:

A. 0.7

B. 0.3

C. 0.5

D. 0.1

Answer: Option B

P(A∪B)=0.4+0.5-0.2=0.7. P(A'∩B')=1-0.7=0.3.

This question belongs to: Accountancy and Statistics Statistics

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Question #1 Report Error

In a bolt factory, machines A(25%), B(35%), C(40%) produce bolts with defective rates 5%,4%,2%. A bolt is defective. Probability it came from C is:

A. 0.23

B. 0.40

C. 0.02

D. 0.35

Correct Answer: Option A

Explanation:
Bayes: P(C|D) = (0.4×0.02) / (0.25×0.05+0.35×0.04+0.4×0.02) = 0.008/0.0345 ≈ 0.2319.

This question belongs to: Accountancy and Statistics Statistics

Question #2 Report Error

Which of the following describes the Natural Increase of a population?

A. Births - Deaths

B. Births + In-migration

C. Immigration - Emigration

D. (Births - Deaths) + (Immigration - Emigration)

Correct Answer: Option A

Explanation:
Natural increase is driven purely by vital events (Births minus Deaths), ignoring migration.

This question belongs to: Accountancy and Statistics Statistics

Question #3 Report Error

Which of the following is not a vital event?

A. Marriage

B. Birth

C. Death

D. Graduation

Correct Answer: Option D

Explanation:
Vital events refer to births, deaths, marriages, and divorces.

This question belongs to: Accountancy and Statistics Statistics