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. Select an answer b) Construct a probability distribution table for the number of heads obtained over three tosses. Enter the I-values from smallest to largest. P(z) c) Determine the shape of the probability distribution of The probability distribution of z is |Select an answer v d) Find the mean number of heads for this distribution. The mean of a discrete probability distribution is also notated by | Select an answer tv Which of the following is the correct interpretation of the mean? Select an answer e) Find the standard deviation for the number of heads for this distribution Find the probability of obtaining two or more heads over three tosses of a coin P( two or more heads