EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Conditional Probability & Bayes' Theorem · Question 86 of 125

Question 86

MediumOriginal question

A factory's day shift makes 70% of its output with 1% defective; the night shift makes the rest with 4% defective. What is the probability that an item picked at random is defective?

Options for question 86

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. 0.7×0.01+0.3×0.040.7 \times 0.01 + 0.3 \times 0.04.

  2. 0.007+0.012=0.0190.007 + 0.012 = 0.019.

Worth noting

0.025 averages 1% and 4%; the day shift makes more than half the items.

Concept
The theorem of total probability
Typical time
90 s
Your time
—
The rule this testsThe theorem of total probability
Practise this chapter →

Ten questions from Conditional Probability & Bayes' Theorem, at your own pace.

Practise this chapter →

Ten questions from Conditional Probability & Bayes' Theorem, at your own pace.

Practise this chapterAll 125 questions in Conditional Probability & Bayes' TheoremRevise the notes for Conditional Probability & Bayes' Theorem