There are 5 containers arranged on on a ship's deck in a single row.. The containers are of two different types, two of type A and 3 of type B.  The containers of type A are supposed to be  placed in the first 2  spots but since they are randomly placed some type B containers may preceed them.  Let X be the number of  type B containers that preceed the first type A  container. Find  the probability function f(x) of X. What is the expected value of X? What is the variance of X?

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There are 5 containers arranged on on a ship's deck in a single row.. The containers are of two different types, two of type A and 3 of type B.  The containers of type A are supposed to be  placed in the first 2  spots but since they are randomly placed some type B containers may preceed them.  Let X be the number of  type B containers that preceed the first type A  container. Find  the probability function f(x) of X.

What is the expected value of X?

What is the variance of X?

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