Construct a theoretical probability distribution based on the description of an experimental procedure. Calculate the mean and standard deviation of a binomial distribution. nber x or Calculate probabilities for a value or interval of the binomial random variable. Procedure 13/ 52 1. The theoretical probability of picking a diamond from a deck is 2. Shuffle a deck of cards. 3. Pick one card from it. binomedfor 4. Record whether it was diamond or not a diamond. 5. Put the card back and reshuffle. 6. Do this a total of ten times. 7. Record the number of diamonds picked. 8. Let X = number of diamonds. Theoretically, X ~ B( , use the rule Theoretical Distribution a. Build the theoretical PDF chart based on the distribution in the Procedure section. X P(x) ( binomal pdf ( 10, 13 ,7 ) = 60031 number x or at 0 1 2 3 8 9 10 b. Calculate the following: a. A= b. O=