M & M's Probability Experiment Name Directions: Use a small bag of M&M's and count the number of each color. Record the color numbers below as f. Find the total n. Write the fractional form in column f, then divide to find the probabilities of each color p(x). Complete the following exercises. Show all fractions for full credit. Color No. (x) Color f p(x) 1 IAWN Green Orange Blue Red 5 Yellow 6 Brown Total n= Exercises: 1. What is the mode color? What does the mode represent? 2. Can the mean be found for this distribution? Why or why not? Complete the graph below either with color fill or X's in each bar. M & M Probability Distribution Graph .50 .45 .40 .35 .30 .25 .20 p(x) .15 .10 .05 0 Green Orange Blue Red Yellow Brown 3. Are the M&M's mutually exclusive? Why? 4. Find the probabilities if one M & M is chosen? Write your answer as a 3 place decimal. (Use addition for an or probability) a) p(red or green) = () p(brown or blue) = b) p(green or yellow or red) = d) p(green or yellow) = e) p(blue or orange) = 5. If two or more M&M's are chosen without replacement, are the events independent? Why or why not? 6. If two or more M&M's are chosen with replacement, are the events independent? Why or why not