When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 10%. Let X = the number of defective boards in a random sample of size n = 20, so X~ Bin(20, 0.10). (a) Determine P(XS 2). (b) Determine P(X2 5). (c) Determine P(1 SXS 4). (d) What is the probability that none of the 20 boards is defective? (e) Calculate the expected value and standard deviation of X. E(X) = Ox =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 10%. Let X = the number of defective boards in a random sample of size n = 20, so X - Bin(20, 0.10).
(a) Determine P(X < 2).
(b) Determine P(X 2 5).
(c) Determine P(1 Sx< 4).
(d) What is the probability that none of the 20 boards is defective?
(e) Calculate the expected value and standard deviation of X
E(X) =
Ox =
Transcribed Image Text:When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 10%. Let X = the number of defective boards in a random sample of size n = 20, so X - Bin(20, 0.10). (a) Determine P(X < 2). (b) Determine P(X 2 5). (c) Determine P(1 Sx< 4). (d) What is the probability that none of the 20 boards is defective? (e) Calculate the expected value and standard deviation of X E(X) = Ox =
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