Problem 10 As a quality control engineer, you're examining the performance of two of the suppliers (A and B) of a key subassembly in a system that your factory produces. You purchased a total of 387 batches of parts from Supplier A and 283 batches from Supplier B. When batches arrive, you inspect them to determine if they meet quality standards: batches either "meet" or "fail to meet" standards. The past quality data that you've collected appears below. a. From Supplier A, you pull a random sample of five subassemblies. What is the probability that fewer than two fail to meet standards? b. From Supplier B, you pull a random sample of three subassemblies. What is the probability that all three meet standards? c. From the collection of subassemblies that fail to meet standards, you pull a random sample of six subassemblies. What is the probability that only one comes from Supplier B? Supplier A Supplier B Meet standards 346 245 Fail to meet standards 41 38

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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Problem 10
As a quality control engineer, you're examining the performance of two of the suppliers (A and
B) of a key subassembly in a system that your factory produces. You purchased a total of 387
batches of parts from Supplier A and 283 batches from Supplier B. When batches arrive, you
inspect them to determine if they meet quality standards: batches either "meet" or "fail to
meet" standards. The past quality data that you've collected appears below.
a.
From Supplier A, you pull a random sample of five subassemblies. What is the
probability that fewer than two fail to meet standards?
b. From Supplier B, you pull a random sample of three subassemblies. What is the
probability that all three meet standards?
c.
From the collection of subassemblies that fail to meet standards, you pull a random
sample of six subassemblies. What is the probability that only one comes from Supplier
B?
Supplier A
Supplier B
Meet standards
346
245
Fail to meet standards
41
38
Transcribed Image Text:Problem 10 As a quality control engineer, you're examining the performance of two of the suppliers (A and B) of a key subassembly in a system that your factory produces. You purchased a total of 387 batches of parts from Supplier A and 283 batches from Supplier B. When batches arrive, you inspect them to determine if they meet quality standards: batches either "meet" or "fail to meet" standards. The past quality data that you've collected appears below. a. From Supplier A, you pull a random sample of five subassemblies. What is the probability that fewer than two fail to meet standards? b. From Supplier B, you pull a random sample of three subassemblies. What is the probability that all three meet standards? c. From the collection of subassemblies that fail to meet standards, you pull a random sample of six subassemblies. What is the probability that only one comes from Supplier B? Supplier A Supplier B Meet standards 346 245 Fail to meet standards 41 38
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