Which leader was at the forefront of the Southampton Insurrection?

Suppose that an infectious disease has R0 equal to 3, which means that on average an infected person can pass on the disease to 3 other persons. We can use Poisson distribution with rate parameter (i.e., lambda) equal to 3 to model the number of new cases generated by one infected person. Find the probability that an infected person passes on the disease to at least one person (i.e., greater than or equal to one person). Keep at least 2 decimal places. (You can submit your code in the last question.)

Consider the R command library(‘vcd’). Which statement is true? 

In a sample of 100 unrelated individuals from country Y, 40 have blood type O. What is a reasonable estimate of the proportion of individuals with blood type O in country Y? 

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.