Suppose you have an experiment where you flip a coin three times. You then count the number of heads. a) State the random variable. b) Write the probability distribution for the number of heads. Make sure to put the values of X from smallest to largest. c) If you were to draw a histogram for the number of heads, what shape would it be? d) Find the mean number of heads. Round final answer to 3 decimal places. Write your units in the second box. Which of the following is the correct symbol for the mean of a probability distribution? Which of the following is the correct interpretation of the mean? c) If you were to draw a histogram for the number of heads, what shape would it be? d) Find the mean number of heads. Round final answer to 3 decimal places. Write your units in the second box. Which of the following is the correct symbol for the mean of a probability distribution? Which of the following is the correct interpretation of the mean? e) Find the standard deviation for the number of heads. Round final answer to 3 decimal places. Write your units in the second box. Which of the following is the correct symbol for the standard deviation of a probability distribution? f) Find the probability of having two or less heads. .