Neco Model Questions Vol1 2019 Mathematics Question 19

Practice objective / multiple choice question 19 from the 2019 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2019 Mathematics Objective / Multiple Choice Hard Difficulty
Question 19 NECO_MODEL_QUESTIONS_VOL1 • 2019 • MATHEMATICS • objective

In a factory, two types of widgets are produced: type A and type B. The proportion of type A widgets is \(p\) and type B is \(1-p\). The probability that a type A widget is defective is \(0.02\) and that a type B widget is defective is \(0.05\). A widget selected at random is found to be non‑defective. Given that the probability the selected widget is of type A, conditional on it being non‑defective, is \(0.8\), determine the value of \(p\). Express your answer as a reduced fraction.

Answer Options

A. 190/238
Correct Answer B. 190/239
C. 190/240
D. 191/239
Correct Answer
B
Correct Option:
190/239

About This Question

This is Neco Model Questions Vol1 2019 Mathematics Question 19. It is one of the objective questions from the 2019 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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