Mathematics, 07.03.2020 03:11 sairaanwar67
Three microcontrollers are needed to operate a specific type of robot. Such a robot stops working whenever one or more microcontrollers fail. On competition day, the probability
that a microcontroller fails is equal to (1/2), independently of other microcontrollers.
(a) 1 pt β What is the probability that a robot with 3 microcontrollers works on competition day?
(b) 1 pt β What is the probability that exactly one microcontroller has failed given that the robot is not working?
(c) 1.5 pt β If the team starts the day with four microcontrollers and one robot, what is the probability that they can find a suitable configuration for the robot to work on competition day?
(d) 1.5 pt β Suppose that 2 robots, each with 3 microcontrollers, are brought to a competition site. Upon initial testing, both robots are not working. What is the probability that the team is able to reshuffle the microcontrollers to make one robot work?
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