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There are 30 engines in an automobile company’s warehouse. It is known that 5 of the...

There are 30 engines in an automobile company’s warehouse. It is known that 5 of the 30 engines have defective oxygen sensors, but it is not known which engines have the problem. Three of the engines are to be selected at random and shipped to an assembly plant. What are the chances that the assembly plant will receive a defect-free shipment?

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Answer #1

Here it is given that is same for all, further n=3 is constant, events are independent and only two outcomes.

Hence all the properties of binomial is satisfied

Here we need to find

We will use binomial distribution to find the required probability

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