Using the original questions to guide your response, individually respond to the 3 posted discussion below. I don’t need a critique but a response on the below discussions to reply with a post. See the Original Question to guide each of your responses. You are individually solving and discussing the three discussion problems. I also need a seperate Excel for each disucssion. ( a) On this example we will examine the probability a couple who has 8 children has exactly 5 boys.Type this in an excel cell=binom.dist(5,8,.5,False)and then hit enter.21875 would be the answerb) Next we will look at the probability that they have more than 5 boys.Type this in an excel cell=1-binom.dist(5,8,.5,True)and then hit enter.144531 would be the answerc) Finally we will look at the probability that they have at most 5 boys.Assume a .5 chance of having a boy.Type this in an excel cell=binom.dist(5,8,.5,True)and hit enter.855469 would be the answer)Type the excel formulas in an excel spreadsheet and attach it to your post so your professor and classmates can check your work. Then write a brief summary after the problem you copied in your post.Discussion 1:A class is having a pizza party for good behavior. The teacher bought 12 pizzas. These pizzas were pepperoni, cheese, and veggie. Assume a 0.6 chance of getting a pepperoni pizza.Examine the probability of the class getting 5 pepperoni pizzasExamine the probability that the class will get more than 5 pepperoni pizzasExamine the probability that the class will have at most 5 pepperoni pizzasDiscussion 2:M&M color distribution:Red- 15.2%Orange- 18.7%Yellow- 14.5%Green- 19.5%Blue- 18.7%Brown- 13.5%a) Examine the probability a that a bowl of 542 M&Ms has exactly 82 red M&Ms.b) Next we will look at the probability that the bowl will have more than 82 M&Ms.c) Finally we will look at the probability that the bowl will have at most 82 M&Ms.Discussion 3:In an RPG there are six options for character creation. Wizard, Wizard/Fighter, Wizard/Rogue, Fighter, Fighter/Rogue, and Rogue. Assume that the chance of any class option is .1666.a. First, if you were to choose 10 characters at random what is the probability of exactly 3 being pure Rogues.b. Second, we will look at the probability that you will choose more than 3 Rogues.c. Next, what is the probability that you will choose less than 3 Rogues.d. Finally what is the probability that you will choose more than 1 but less than 3 Rogues.
