Show all work clearly. A powerplant’s daily electricity generation is managed by identical control systems that operate in parallel. Each control system can fail, during the day, with probability 1−p independently of other control systems. The powerplant can generate electricity successfully during a day if at least 50 percent of its control systems remain operative. For what values of p having a powerplant with four control systems is more preferable to a powerplant with two control systems?

Show all work clearly. A powerplant’s daily electricity generation is managed by identical control systems that operate in parallel. Each control system can fail, during the day, with probability 1−p independently of other control systems. The powerplant can generate electricity successfully during a day if at least 50 percent of its control systems remain operative. For what values of p having a powerplant with four control systems is more preferable to a powerplant with two control systems?

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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A Ph.D. graduate has applied for a job with two colleges: A and B. The graduate feels that she has a 60% chance of receiving an offer from college A and a 50% chance of receiving an offer from college B. If she receives an offer from college B, she believes that she has an 80% chance of receiving an offer from college A. Let A = receiving an offer from college A, and let B = receiving an offer from college B. a. What is the probability that both colleges will make her an offer? b. What is the probability that at least one college will make her an offer? c. If she receives an offer from college B, what is the probability that she will not receive an offer from college A?
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SECTION 5.4 Drug usage in the workplace costs employers incredible amounts of money each year. Drug testing potential employees have become so prevalent that drug users are finding it extremely hard to find jobs. Drug tests, however, are not completely reliable. To decrease the likelihood of making an error, all potential employees are screened through two tests, which are independent. One test has a 96% accuracy and the other has a 97% accuracy. Step 2 of 2 : If a person were a drug user, what is the probability they would pass both tests? Round your answer to four decimal places, if necessary.
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