A system contains three components, A, B and C. All three components must function for the system to work. The probabilities that components A, B and C fail in a day are 0.008, 0.005, and 0.004, respectively. Assume that the three components function independently. a) What is the probability that the system functions successfully in a day? b) What is the probability that the system functions successfully for 30 days without failure? Assume that failure or success in a day is independent of what happens in other days.

A system contains three components, A, B and C. All three components must function for the system to work. The probabilities that components A, B and C fail in a day are 0.008, 0.005, and 0.004, respectively. Assume that the three components function independently. a) What is the probability that the system functions successfully in a day? b) What is the probability that the system functions successfully for 30 days without failure? Assume that failure or success in a day is independent of what happens in other days.

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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