Suppose that a box contains 7 cameras and that 5 of them are defective. A sample of 2 cameras is selected at random (with replacement). Define the random variable X\displaystyle {X} as the number of defective cameras in the sample. Note: For X\displaystyle {X} to have a binomial probability distribution the sample must be with replacement, otherwise the trials are dependent.

Write the probability distribution for X\displaystyle {X}.

k\displaystyle {k} P(X=k\displaystyle {X}={k})

What is the expected value of X\displaystyle {X}?