Suppose that a box contains 6 cameras and that 5 of them are defective. A sample of 2 cameras is selected at random. Define the random variable X as the number of defective cameras in the sample.

E(X)= 1.667

Step-by-step explanation:

The question asks for the probability distribution and the expected value of X.

The possible values for the number of defective cameras (X) are 0, 1 or 2.

The probability distribution for X is:

Since there is only one camera in the box that is not defective, it is impossible for no camera to be defective when picking 2.

The probability distribution is:

The expected value of X is:

The expected value is 1.667 defective cameras.

step-by-step explanation:

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about the problem:

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