Question: 2.4.2 Suppose that three components in a certain system each function with probability p and fail with probability 1????p, each component operating or failing independently

2.4.2 Suppose that three components in a certain system each function with probability p and fail with probability 1????p, each component operating or failing independently of the others. But the system is in a random environment so that p is itself a random variable. Suppose that p is uniformly distributed over the interval .0; 1]. The system operates if at least two of the components operate.

What is the probability that the system operates?

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