**Understanding Defects in Desk Lamp Production**A desk lamp produced by The Luminar Company was found to be defective (D). There are three factories (A, B, C) where these desk lamps are manufactured. A Quality Control Manager (QCM) is responsible for investigating the source of these defects. Here is the information the QCM has gathered regarding the company's desk lamp production and the potential sources of defects:| **Factory** | **% of total production** | **Probability of defective lamps** ||-------------|---------------------------|-------------------------------------|| A | 0.35 = P(A) | 0.015 = P(D|A) || B | 0.35 = P(B) | 0.010 = P(D|B) || C | 0.30 = P(C) | 0.020 = P(D|C) |**Explanation:**- **Factory Percentages:** - Factory A and B each produce 35% of the total desk lamps, while Factory C produces 30%.- **Probability of Defects:** - The probability that a desk lamp from Factory A is defective is 1.5%. - For Factory B, the probability is 1.0%. - For Factory C, the probability is 2.0%.This data is crucial for the QCM to determine which factory may be contributing the most to defective units and take appropriate action. **Question:**If a randomly selected lamp is defective, what is the probability that the lamp was manufactured in factory C?**Answer Options:**- ○ 0.30- ○ 0.41- ○ 0.69- ○ Not enough information to calculate**Explanation:**This question explores conditional probability, asking for the likelihood that a defective lamp comes from factory C. To determine this, additional data about the total number of defective lamps from each factory and their respective production rates is required. The answer choice "Not enough information to calculate" suggests that the problem cannot be solved with the provided data.

Bayes’ rule: If A1,A2,...,Ak are k mutually exclusive and exhaustive events, such that the sum of…

Answered: If a randomly selected lamp is…

If a randomly selected lamp is defective, what is the probability that the lamp was manufacturedin factory C? O .30 O .41 O .69 O not enough information to calculate

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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