Lab Activity #5: Discrete Distribution (Playing Card Experiment) Student Learning Outcomes: The student will compare empirical data and a theoretical distribution to determine if an everyday experiment fits a discrete distribution. The student will compare technology-generated simulation and a theoretical distribution. The student will demonstrate an understanding of long-term probabilities. Required Materials: One full deck of playing cards One programming calculator (reminder: they are available ONLINE for free as an app for laptops/PCs/cell phones) Procedure The experimental procedure for empirical data is to pick one card from a deck of shuffled cards. The theoretical probability of picking a diamond from a deck is . Shuffle a deck of cards. Pick one card from it. Record whether it was a diamond or not a diamond. Put the card back and reshuffle. Do this a total of ten times. Record the number of diamonds picked. Let X = number of diamonds. Theoretically, X ~ B(,) Class Data Exchange You must exchange data with a MINIMUM of 15 of your Statistics classmates!! Record the names of those you shared data with below: Organize the Data Record the number of diamonds picked for your class (again, data from a MINIMUM of 15 of your classmates must be obtained first) with playing cards in the table below. Then calculate the relative frequency.