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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Question

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.

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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