Acontainer contains 15 diesel engines. the company chooses 13 engines at random, and will not ship the container if any of the engines chosen are defective. find the probability that a container will be shipped even though it contains 2 defectives if the sample size is 13.
the probability the container will be shipped is
round to the nearest thousandth as needed

Step-by-step explanation:

We have 15 diesel engines, from which 13 are okay, and 2 are defected. Since there are 15 engines and 13 will be chosen two ship in the continer, the possibe number of outcomes is:

Where n = 15 and r=11.

Substituting, we find that:

Now we need to find the probability of choosing 13 effective engines and 0 defective engines, which is given by:

The probability of shipping the container is:

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