Consider Question 23. Find the probability that an infected person passes on the disease to less than or equal to 5 persons. Keep at least 2 decimal places. (You can submit your code in the last question.)

[Optional] You can include the R code for Questions 22, 23, 24 here. This is NOT required, and you can choose to only provide code for some questions. Indicate the question number in your code. When your numerical answers are wrong, you may receive partial credits if your code does not have significant mistakes. However, partial credits may be deducted if your answer is correct but your code is wrong.   

Which of the following CANNOT be used as the name of a variable in R? 

For the given problem, fill-in the answer with the correct number value.    The Rufus Cafe has a special lunch menu in which the diner chooses a soup or salad, a main course, and a dessert. There are `S1` choices of soups, `S2` choices of salads, `M` choices of the main courses, and `D` choices of desserts. Determine how many different three-course meals diners can order for lunch.  

For the given linear Programming problem, choose all options that are correct. A nutritionist at the Rufus Med Center was asked to prepare a special diet for certain patients.  Rufus decided that the meals are to be prepared from Foods A and B and that the meals should contain a minimum of 390 mg of calcium, 5 mg of iron, and 45 mg of vitamin C.  Each ounce of Food A contains 25 mg of calcium, 3 mg of iron, 2 mg of vitamin C, and 4 mg of cholesterol.   Each ounce of Food B contains 25 mg of calcium, 0.5 mg of iron, 5 mg of vitamin C, and 5 mg of cholesterol. Let represent cholesterol, represent Food A, and represent Food B. How many ounces of each type of food should be used in a meal so that the cholesterol content C (in mg) is minimized and the minimum requirements for calcium, iron, and vitamin C are met?  

From experience the manager of Rufus Book Mart knows that `P`% of the people in the store will make a purchase.Determine the probability that among the ten people browsing in the store, exactly 4 will make a purchase. Enter your answer to 4 decimal places.

Type your solution path or upload an image of your hand-written solution path into the provided box. To earn credit, your solution path should include all math steps that  show your reasoning and that use correct notation.  Providing only the answer does not earn credit.   In the western congressional district of the state, it is known that 35% of the registered voters eat pretzel twists. If 10 registered voters are selected at random from this district, what is the probability that at most 2 voters will eat pretzel twists. Round your answer to 4 decimal places.

Rufus decides to buy a shop that sells pool tables in Richmond and there are two choices:  RedWolf and East Pool.  The weekly sales volumes with the respective probabilities for each shop are as follows: RedWolf Shop: Sales 5 6 7 8 9 10 11 12 Probability 0.05 0.09 0.14 0.24 0.18 0.14 0.11 0.05 East Pool Shop: Sales 5 6 7 8 9 10 Probability 0.08 0.21 0.31 0.24 0.10 0.06   The average profit per pool table at RedWolf Shop is $542, and the average profit per pool table at Eat Pool Shop is $657. The average number of pool tables sold each week at RedWolf is .  Your number value should have two decimal places, for example: 1.23. The expected weekly profit for RedWolf is $. The average number of pool tables sold each week at East Pool Shop in .  Your number value should have two decimal places, for example:  1.23. The expected weekly profit for East Pool is $. Which pool table shop should Rufus purchase?  .

For each statement or question, determine if the scenario is a permutation or a combination, or neither.

Which of the following is a way to increase emotional intelligence in the workplace?