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: MCQ with Answer and Explanation

Question

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. 0.40

B. 0.23

C. 0.35

D. 0.02

Answer: Option B

Solution (By JKSSB Mock Tests)

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

Request complete Subject PDF

Discuss this Question (0)

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

Practice More Statistics Questions

Question #1

Share Report

A census is typically conducted at what interval in most countries?

A. Every 10 years

B. Every 5 years

C. Every 20 years

D. Every year

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option A

Explanation:
Most nations, including India and the USA, conduct a full population census decennially (every 10 years) to balance comprehensiveness with cost and logistical feasibility.

This question belongs to: Accountancy and Statistics Statistics

Question #2

Share Report

Assertion (A): Fisher's Index is called the 'Ideal' index. Reason (R): It uses only base year quantities.

A. A is false but R is true

B. A is true but R is false

C. Both A and R are true but R is NOT the correct explanation

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

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option B

Explanation:
A is true, but R is false because Fisher's index uses both base and current year quantities (Geometric mean of L and P).

This question belongs to: Accountancy and Statistics Statistics

Question #3

Share Report

In a life table, the column Lx represents:

A. Number of deaths at age x

B. Number of survivors at age x

C. Number of person-years lived between age x and x+n

D. Probability of dying

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option C

Explanation:
Lx is the number of person-years lived in the age interval.

This question belongs to: Accountancy and Statistics Statistics

Explore All Statistics MCQs