Problem 4) Select integrated circuits, test them in sequence until you find the first failure, and then stop. Let N be the number of tests. All tests are independent with a probability of failure Р = 0.1. Consider the condition B = {N ≥ 20}. a) Find the PMF PN(n). b) Find PN/B(n), the conditional PMF of N given that there have been 20 consecutive tests without a failure. c) What is E[N[B], the expected number of tests given that there have been 20 consecutive tests without a failure?
Problem 4) Select integrated circuits, test them in sequence until you find the first failure, and then stop. Let N be the number of tests. All tests are independent with a probability of failure Р = 0.1. Consider the condition B = {N ≥ 20}. a) Find the PMF PN(n). b) Find PN/B(n), the conditional PMF of N given that there have been 20 consecutive tests without a failure. c) What is E[N[B], the expected number of tests given that there have been 20 consecutive tests without a failure?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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![Problem 4) Select integrated circuits, test them in sequence until you find the first failure,
and then stop. Let N be the number of tests. All tests are independent with a probability of
failure p = 0.1. Consider the condition B = {N ≥ 20}.
a) Find the PMF PN(n).
b) Find PN/B(n), the conditional PMF of N given that there have been 20 consecutive tests
without a failure.
c) What is E[N[B], the expected number of tests given that there have been 20
consecutive tests without a failure?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe36fb7f7-6381-4add-b52b-9085dfd27844%2F4149f6e3-9850-4408-8837-ec2ef5247f7a%2F2b3cfak_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 4) Select integrated circuits, test them in sequence until you find the first failure,
and then stop. Let N be the number of tests. All tests are independent with a probability of
failure p = 0.1. Consider the condition B = {N ≥ 20}.
a) Find the PMF PN(n).
b) Find PN/B(n), the conditional PMF of N given that there have been 20 consecutive tests
without a failure.
c) What is E[N[B], the expected number of tests given that there have been 20
consecutive tests without a failure?
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