A section of an electrical circuit has two relays, numbered 1 and 2, operating in parallel. The current will flow when a switch is thrown if either one or both of the relays close. The probability of a relay closing properly is 0.7 for each relay. We assume that the relays operate independently. Let Ei denote the event that relay I close properly when the switch is thrown. Then P(Ei)= 0.7. A numerical event of some interest to the operator of this system is Xi the number of relays that close properly when the switch is thrown. Construct a probability of distribution of number of closed relays.

A section of an electrical circuit has two relays, numbered 1 and 2, operating in parallel. The current will flow when a switch is thrown if either one or both of the relays close. The probability of a relay closing properly is 0.7 for each relay. We assume that the relays operate independently. Let Ei denote the event that relay I close properly when the switch is thrown. Then P(Ei)= 0.7. A numerical event of some interest to the operator of this system is Xi the number of relays that close properly when the switch is thrown. Construct a probability of distribution of number of closed relays.

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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