40 newly hatched sea turtles attempt to reach the ocean, and each of them has a 0.6 probability of surviving the journey. On average, how many turtles are expected to make it to the ocean?   

Which of the following statement is true? 

Suppose that we have collected the systolic blood pressure measurements of 100 unrelated individuals from country X. Which probability distribution (among the following three options) is the most appropriate for modeling this data set? 

Suppose that on average 20 people die of rabies each month worldwide. What is a reasonable probabilistic model for the number of people that die of rabies worldwide in 3 months? (For Poisson distribution, “rate” means the parameter lambda).  

Consider Question 23. Suppose now there are 10 infected persons. we want to use R to do one simulation to find out in total how many new cases will be generated by these 10 existing cases (that is, we want to simulate this random experiment in R instead of calculating theoretical values). Which of the following R code is correct?  

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

You are called to assess an infant with a history of hypoxic ischemic encephalopathy (HIE). The infant is excessively sucking, deviating her eyes to the left, and having jerking movements that do not stop when you hold her arms. You are most concerned about:

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

Rufus Theater has 4 cinema screens:  I, II, III, IV.  The attendance for a Friday afternoon matinee are given in the following matrix A.   \(\begin{gathered} \ \quad\qquad  \ \text { Attendance }  \\\qquad  \ \qquad \quad \ \text {I}\ \quad  \text {II}\ \quad  \text {III}\ \quad  \text {IV}\   \\A=\begin{array}{cccc}\text { Child} \\\text {Student} \\\text {Adult} \\\end{array}\left\end{gathered}\) If ticket prices are $6 for children, $8 for students, and $10 for adults, in the given box answer the following questions. Write a row vector B that represents admission prices. Multiply the two matrices to determine the gross receipts for each theater. Determine the total revenue for the Rufus Center that Friday afternoon.