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 = 15, so X~ Bin(15, 0.1). (Round your probabilities to three decimal places.) USE SALT (a) Determine P(X ≤ 2). (b) Determine P(X ≥ 5). (c) Determine P(1 ≤ x ≤ 4). (d) What is the probability that none of the 15 boards is defective? (e) Calculate the expected value and standard deviation of X. (Round your standard deviation to two decimal places.) expected value standard deviation boards boards

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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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 =
15, so X~ Bin(15, 0.1). (Round your probabilities to three decimal places.)
USE SALT
(a) Determine P(X ≤ 2).
(b) Determine P(X ≥ 5).
(c) Determine P(1 ≤ x ≤ 4).
(d) What is the probability that none of the 15 boards is defective?
(e) Calculate the expected value and standard deviation of X. (Round your standard deviation to two decimal places.)
expected value
standard deviation
boards
boards
You may need to use the appropriate table in the Appendix of Tables to answer this question.
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 = 15, so X~ Bin(15, 0.1). (Round your probabilities to three decimal places.) USE SALT (a) Determine P(X ≤ 2). (b) Determine P(X ≥ 5). (c) Determine P(1 ≤ x ≤ 4). (d) What is the probability that none of the 15 boards is defective? (e) Calculate the expected value and standard deviation of X. (Round your standard deviation to two decimal places.) expected value standard deviation boards boards You may need to use the appropriate table in the Appendix of Tables to answer this question.
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