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(a) Determine P(X ≤ 2). 0.9246 X (b) Determine P(X ≥ 5). 0.0025 X (c) Determine P(1 ≤ x ≤ 4). 0.6390 x

(a) Determine P(X ≤ 2). 0.9246 X (b) Determine P(X ≥ 5). 0.0025 X (c) Determine P(1 ≤ x ≤ 4). 0.6390 x

A First Course in Probability (10th Edition)
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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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, 0.1). (Round your probabilities to three decimal places.) USE SALT (a) Determine P(X ≤ 2). 0.9246 X (b) Determine P(X ≥ 5). 0.0025 X (c) Determine P(1 ≤ x ≤ 4). 0.6390 X (d) What is the probability that none of the 20 boards is defective? 0.358 (e) Calculate the expected value and standard deviation of X. (Round your standard deviation to two decimal places.) expected value 1 standard deviation 0.97 X boards X boards You may need to use the appropriate table in the Appendix of Tables to answer this question. Need Help? Read It
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, 0.1). (Round your probabilities to three decimal places.) USE SALT (a) Determine P(X ≤ 2). 0.9246 X (b) Determine P(X ≥ 5). 0.0025 X (c) Determine P(1 ≤ x ≤ 4). 0.6390 X (d) What is the probability that none of the 20 boards is defective? 0.358 (e) Calculate the expected value and standard deviation of X. (Round your standard deviation to two decimal places.) expected value 1 standard deviation 0.97 X boards X boards You may need to use the appropriate table in the Appendix of Tables to answer this question. Need Help? Read It
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Step 1

It is given that the random variable X that is the number of defective boards in a random sample of size n = 20 i.e,

X ~ Bin(20, 0.1)

 

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