A manufacturer of DVD players purchases a particular microchip, called LS-24, from three suppliers: Hall Electronics, Schuller Sales, and Crawford Components. 30% of the LS-24 chips were purchased from Hall Electronics, 20% from Schuller Sales, and the remaining 50% from Crawford Components. The manufacturer has extensive track records on all three suppliers and knows that 3% of Hall Electronics' LS-24 chips are defective, 5% of Schuller Sales' LS-24 chips, and 4% of Crawford Components' LS-24 chips are defective. defects. When LS-24 chips arrive at the manufacturer, they are placed directly in a warehouse and are not inspected or identified with the supplier's name. A worker selects a chip to install in a DVD player and finds it defective. What is the probability that it was made by Hall Electronics? What is the probability that Crawford Components made it? What is the probability that it was made by Schuller Sales?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
A manufacturer of DVD players purchases a particular microchip, called LS-24, from three suppliers: Hall Electronics, Schuller Sales, and Crawford Components. 30% of the LS-24 chips were purchased from Hall Electronics, 20% from Schuller Sales, and the remaining 50% from Crawford Components. The manufacturer has extensive track records on all three suppliers and knows that 3% of Hall Electronics' LS-24 chips are defective, 5% of Schuller Sales' LS-24 chips, and 4% of Crawford Components' LS-24 chips are defective. defects. When LS-24 chips arrive at the manufacturer, they are placed directly in a warehouse and are not inspected or identified with the supplier's name.
A worker selects a chip to install in a DVD player and finds it defective.
- What is the
probability that it was made by Hall Electronics? - What is the probability that Crawford Components made it?
- What is the probability that it was made by Schuller Sales?
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