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 decimalplaces.)USE SALT(a) Determine P(X ≤ 2).0.9246X(b) Determine P(X ≥ 5).0.0025X(c) Determine P(1 ≤ x ≤ 4).0.6390X(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 value1standard deviation 0.97X boardsXboardsYou may need to use the appropriate table in the Appendix of Tables to answer this question.Need Help? Read It

It is given that the random variable X that is the number of defective boards in a random sample of…

Answered: (a) Determine P(X ≤ 2). 0.9246 X (b)…

Math

Probability

(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

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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Question

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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