An electronic system consists of two parts that function independently of one another. The lifetime T (in

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An electronic system consists of two parts that function independently of one another. The lifetime T (in hours) for each part of the system is a random variable with distribution function image text in transcribed

(i) Find the value of the constant c.
(ii) Suppose the system works only when both parts are functioning properly.
What is the probability that the system works for at least 2000 hours? If it is known that the system has worked for 2000 hours, what is the probability that it will break down during the next 1000 hours?

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