0.05). (Round your probabilities to three decimal places.) USE SALT (a) Determine P(X ≤ 2). 0.925 (b) Determine P(X ≥ 5). 0.0025 (c) Determine P(1 S XS 4). 0.639 (d) What is the probability that none of the 20 boards is defective? 0.975 X (e) Calculate the expected value and standard deviation of X. (Round your standard deviation to two decimal places.) expected value boards standard deviation boards You may need to use the appropriate table in the Appendix of Tables to answer this question.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Hi, I'm having trouble doing parts D and E, can you please help me?

When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let X = the number of defective boards in a random sample of size n = 20, so X~ Bin (20,
0.05). (Round your probabilities to three decimal places.)
USE SALT
(a) Determine P(X ≤ 2).
0.925
(b) Determine P(X > 5).
0.0025
(c) Determine P(1 ≤ x ≤ 4).
0.639
(d) What is the probability that none of the 20 boards is defective?
0.975
X
(e) Calculate the expected value and standard deviation of X. (Round your standard deviation to two decimal places.)
expected value
boards
boards
standard deviation
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 5%. Let X = the number of defective boards in a random sample of size n = 20, so X~ Bin (20, 0.05). (Round your probabilities to three decimal places.) USE SALT (a) Determine P(X ≤ 2). 0.925 (b) Determine P(X > 5). 0.0025 (c) Determine P(1 ≤ x ≤ 4). 0.639 (d) What is the probability that none of the 20 boards is defective? 0.975 X (e) Calculate the expected value and standard deviation of X. (Round your standard deviation to two decimal places.) expected value boards boards standard deviation You may need to use the appropriate table in the Appendix of Tables to answer this question.
Expert Solution
Step 1: Given information

n = 20

p = 0.05

1 - p = 0.95


steps

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