Imagine an audio amplifier contains six transistors. Harry has determined that two transistors are defective, but he does not know which two. Harry removes three transistors at random and inspects them. Let X be the number of defective transistors that Harry finds, where X may be 0, 1, or 2.

a. Construct a probability distribution table for X

b. Construct a probability histogram for X

c. Calculate the mean and standard deviation of X

d. Calculate P(X =0 or X =2)

e. Calculate P(X 1)