Suppose you have an experiment where you toss a fair coin three times. You then count the number of heads observed over those three tosses. Use this experiment to address each of the following questions. Round solutions to three decimal places, if necessary. a) State the random variable b) Construct a probability distribution table for the number of heads obtained over three tosses. Enter the z-values from smallest to largest P(z) c) Determine the shape of the probability distribution of I. Find the mean number of heads for this distribution.