You still have those two boxes. But now, more generally, units manufactured by A are defective with probability pa, while units manufactured by B are defective with probability pb. You select a box at random and test N units from it. Express: a) The probability that exactly k of the tested units are defective. b) Given that k of the tested units are defective, the probability that the box you are testing contains the units manufactured by A.
You still have those two boxes. But now, more generally, units manufactured by A are defective with probability pa, while units manufactured by B are defective with probability pb. You select a box at random and test N units from it. Express: a) The probability that exactly k of the tested units are defective. b) Given that k of the tested units are defective, the probability that the box you are testing contains the units manufactured by A.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Yet another variation on Problem # 1: You still have those two boxes. But now, more generally, units manufactured by A are defective with
a) The probability that exactly k of the tested units are defective.
b) Given that k of the tested units are defective, the probability that the box you are testing contains the units manufactured by A.
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