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Question 8 The lifetimes of interactive computer chips produced by a certain semiconductor manufacturer are normally distributed having mean 4.4 × 10° hours with a standard deviation of 3 x 10$ hours. a) If a mainframe manufacturer requires that at least 90 percent of the chips from a large batch will have lifetimes of at least 4.0 × 10° hours, should he contract with the semiconductor firm? b) What is the probability that a batch of 100 chips will contain at least 4 whose lifetimes are less than 3.8 ×10° hours?

Question 8 The lifetimes of interactive computer chips produced by a certain semiconductor manufacturer are normally distributed having mean 4.4 × 10° hours with a standard deviation of 3 x 10$ hours. a) If a mainframe manufacturer requires that at least 90 percent of the chips from a large batch will have lifetimes of at least 4.0 × 10° hours, should he contract with the semiconductor firm? b) What is the probability that a batch of 100 chips will contain at least 4 whose lifetimes are less than 3.8 ×10° hours?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
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Question 8 The lifetimes of interactive computer chips produced by a certain semiconductor manufacturer are normally distributed having mean 4.4 × 10° hours with a standard deviation of 3 x 10$ hours. a) If a mainframe manufacturer requires that at least 90 percent of the chips from a large batch will have lifetimes of at least 4.0 × 10° hours, should he contract with the semiconductor firm? b) What is the probability that a batch of 100 chips will contain at least 4 whose lifetimes are less than 3.8 ×10° hours?
Transcribed Image Text:Question 8 The lifetimes of interactive computer chips produced by a certain semiconductor manufacturer are normally distributed having mean 4.4 × 10° hours with a standard deviation of 3 x 10$ hours. a) If a mainframe manufacturer requires that at least 90 percent of the chips from a large batch will have lifetimes of at least 4.0 × 10° hours, should he contract with the semiconductor firm? b) What is the probability that a batch of 100 chips will contain at least 4 whose lifetimes are less than 3.8 ×10° hours?
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