Question: 53. A circuit board of a very complex electronic system has 500 soldered joints. The probability that a joint becomes loose in one year use

53. A circuit board of a very complex electronic system has 500 soldered joints. The probability that a joint becomes loose in one year use of the circuit board is 0.001.

(a) What is the probability that in one year three joints become loose?

(b) What is the probability that in one year at least two joints become loose?

(c) The circuit board becomes dysfunctional if any joint becomes loose. Find the probability that in two years the circuit board becomes dysfunctional.

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