Binomial

Link: https://www.random.org/playing-cards/

Written Assignment: You are to write a report and show all your calculation for full credit. Then you will upload your report. Write neatly and work in sequential order. Please answer the following questions in order: Procedure The experimental procedure for empirical data is to pick one card from a deck of shuffled cards. 1. Shuffle a deck of cards. (If you don't have a deck of cards you can use the simulator RANDOM.ORG E 2. Pick ten cards from it. 3. Record the number of diamonds picked. 4. Repeat the experiment 50 times. Every time select 10 cards and count the number of diamonds.Organize the Data 1. Record the number of diamonds picked for each of the 50 trials in a table as shown below. Then calculate the relative frequency. Let x = number of diamonds x Frequency Relative Frequency 0 ____________________ 1 ____________________ 2 ____________________ 3 ____________________ 4 ____________________ 5 ____________________ 6 ____________________ 7 ____________________ 8 ____________________ 9 ____________________ 10 ____________________ Questions 1. The theoretical probability of picking a diamond from a deck is _________ . 2. LetX = number of diamonds. Theoretically. X ~ Bl _____ . _____ l 3. Calculate the following: 51' H II Theoretical Distribution 4. Build the theoretical PDF chart based on the distribution in the Procedure section. (Recall: Use the binomial function in calculator) X P(x) 0 N 3 4 UT 6 8 9 10 5. Calculate the following: a. H = b. o = 6. Use the table from the Theoretical Distribution to calculate the following answers. Round your answers to four decimal places. . P(x = 3) = . P(1