Question: Refer to Exercise 17 for the definition of a k out of n system. For a certain 4 out of 6 system, assume that on

Refer to Exercise 17 for the definition of a k out of n system. For a certain 4 out of 6 system, assume that on a rainy day each component has probability 0.7 of functioning, and that on a nonrainy day each component has probability 0.9 of functioning.

a. What is the probability that the system functions on a rainy day?

b. What is the probability that the system functions on a nonrainy day?

c. Assume that the probability of rain tomorrow is 0.20. What is the probability that the system will function tomorrow?

Refer to Exercise 17.

Ak out of n system is one in which there is a group of n components, and the system will function if at least k of the components function. Assume the components function independently of one another.

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