In a chemical plant, 24 holding tanks are used for finalproduct storage, Four ta

Question

In a chemical plant, 24 holding tanks are used for finalproduct storage, Four tanks are selected at random withoutreplacement. Suppose that six of the tanks contain material inwhich the viscocity exceeds the customer requirements. a)What is the probability that exactly on tank in the sampleexeeds viscosity? b) What is the probability that at least one exceed sampleviscocity? Please use permutations/combinations, not binomialdistribution. Thanks In a chemical plant, 24 holding tanks are used for finalproduct storage, Four tanks are selected at random withoutreplacement. Suppose that six of the tanks contain material inwhich the viscocity exceeds the customer requirements. a)What is the probability that exactly on tank in the sampleexeeds viscosity? b) What is the probability that at least one exceed sampleviscocity? Please use permutations/combinations, not binomialdistribution. Thanks

Explanation / Answer

a) P(Exactly one tank) = (6C1 x18C5) / (24C6) =51408/134596 = 0.3819 b) P(At least one exceed sample viscocity) = 1 - P(no tank exceedsample viscocity) = 1 - (18C6 /24C6) = 0.8621 Hope this helps!

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