Question

The JJ A/C system can have three types of failure, A, B, C. These occur with...

The JJ A/C system can have three types of failure, A, B, C. These occur with the following probabilities: P(A) = .17, P(B) = .11, P(C) = .23. Suppose these failure types are independent of one another.

a. What is the probability of the A/C system having all three types of failure?
b. What is the probability of the A/C system having no failure?
c. What is the probability of the A/C system having type A failure and not type B failure?
d. What is the probability of the A/C system having exactly 1 type of failure?
d. What is the probability of the A/C system having exactly 2 types of failure?

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