11. A Food store has three employees who package and weigh produce. Employee A records the correct weight 98 % of the time. Employees B and C record the correct weight 97 % and 95 % of the time, respectively. Employees A, B, and C handle 50 % , 30 % , and 20 % of the packaging, respectively. A customer complains about the incorrect weight recorded on a package she had purchased. What is the probability that the package was weighed by employee B?
11. A Food store has three employees who package and weigh produce. Employee A records the correct weight 98 % of the time. Employees B and C record the correct weight 97 % and 95 % of the time, respectively. Employees A, B, and C handle 50 % , 30 % , and 20 % of the packaging, respectively. A customer complains about the incorrect weight recorded on a package she had purchased. What is the probability that the package was weighed by employee B?
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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Transcribed Image Text:11. A Food store has three employees who package and weigh produce.
Employee A records the correct weight 98 % of the time. Employees B and C record the correct weight 97 % and 95
% of the time, respectively. Employees A, B, and C handle 50 % , 30 % , and 20 % of the packaging, respectively.
A customer complains about the incorrect weight recorded on a package she had purchased. What is the probability
that the package was weighed by employee B?
12. A bag contains two nickels and three dimes. We select two coins at random, without replacement. Let's define a
random variable X as the monetary value of the selected coins in the sample; e.g., if the sample consists of a nickel
and dime, X = 15 œnts. (a) Find the pmf. (b) Find µ,. (c) Find o,.
13. A box contains 10,000 articles of which 150 are defective. A random sample of 100 articles is selected. Let X denote
the number of defective articles in the sample.
(a) Find the probability that 20 articles from the sample selected are defective (i.e., p(20) ). DO NOT SIMPLIFY!
(b) Write a the exact probability mass function ( pmf) p(æ ).
ASS
(c) Write the binomial approximation of p(20). DO NOT SIMPLIFY!
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