(a) What is the probability that none of the pens in a packet will be defective? (b) What is the probability that at least one of the pens in a packet will be defective? (c) What proportion of the packages will be returned (assuming that customers al- ways take advantage of the guarantee)? (d) If someone buys five packets, what is the probability that exactly one of them will be returned? lrel

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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4) The FLOW RITE pen company knows that the pens it produces will be defective with
probability 0.03 (independently of one another). FLOW RITE sells its pens in packets
of 8 and offers a money back guarantee that at most 1 of the 8 pens in a packet will
be defective.
(a) What is the probability that none of the pens in a packet will be defective?
(b) What is the probability that at least one of the pens in a packet will be defective?
(c) What proportion of the packages will be returned (assuming that customers al-
ways take advantage of the guarantee)?
(d) If someone buys five packets, what is the probability that exactly one of them will
be returned?
Transcribed Image Text:4) The FLOW RITE pen company knows that the pens it produces will be defective with probability 0.03 (independently of one another). FLOW RITE sells its pens in packets of 8 and offers a money back guarantee that at most 1 of the 8 pens in a packet will be defective. (a) What is the probability that none of the pens in a packet will be defective? (b) What is the probability that at least one of the pens in a packet will be defective? (c) What proportion of the packages will be returned (assuming that customers al- ways take advantage of the guarantee)? (d) If someone buys five packets, what is the probability that exactly one of them will be returned?
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