It was determined from historical records of inspecting inflatable liferafts onboard vessels that 5 in 100 are

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It was determined from historical records of inspecting inflatable liferafts onboard vessels that 5 in 100 are defective and will not properly inflate.

(a) For a randomly selected vessel that has onboard 20 rafts, what is the distribution of the number of defective liferafts?

(b) Compute the probability that 5 or more liferafts out of the 20 onboard are defective.

(c) Compute also the probability that at least 1 is defective.

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