Math Problem Statement

A manufacturer of tablets receives its LED screens from three different suppliers: A A, B B, and C C. The probability that any one LED screen received by the plant comes from these three suppliers are 0.60, 0.30, and 0.10 respectively. Suppose that 96% of the LED screens from A A, 80% of those from B B, and 65% of those from C C perform according to specifications.

(a) What is the probability that the LED screen conforms to specifications?

(b) If a randomly chosen LED screen conforms to specifications, what is the probability that it came from i i Supplier A A, i i ii Supplier B B, and i i i iii Supplier C C?

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Conditional Probability
Law of Total Probability
Bayes' Theorem

Formulas

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Theorems

Law of Total Probability
Bayes' Theorem

Suitable Grade Level

Advanced High School or College