Let us play a game of tossing coins A total of three fair coins are tossed each time You receive one point for each head and two points for each tail For example you would receive four 4 points if a toss yields two heads and one tail Define the number of points you receive in each toss as X a Analytical analysis Determine the probability distribution function of X i e fx x and show the analytical results using either a bar chart or histogram b Experiments Toss the three coins 30 times and create a table to record the outcomes i e number of points and their associated number of occurrence Plot the experimental results using either a bar chart or histogram Horizontal axis value of x or outcome value vertical axis relative frequency of the occurrence or number of occurrence 30 c Discussions Compare the results in a and b and discuss