Question:

-The following are the values of r that the N=18 students in our lab submitted for our homework assignment: .37 .59 .28 .67 .49 .81 .07 .003 .67 .92 .03 .97 .47 .33 .78 .56 .18 .14 (NOTE: All of the values of r above are positive.) (SIDE NOTE: All of the values of r above are positive.) Consider positive values for r to be a success, and negative values for r to be a failure. Let random binomial variable X ~ B(18, 12). (When calculating P(X=k) for Question 1, do not round the answers you get; keep all decimal places.)

a. How many possible outcomes are there for the binomial distribution, where X ~ B(18, 12)?

b. What are the possible values for k, i.e., the number of successes?

c. Which of the possible values of k corresponds to the outcome of the N=18 students above?

d. For each of the possible values of k, how many possible outcomes are there? (NOTE: I am not asking you to enumerate the possible outcomes. I'm just asking how many possible outcomes there are for each value of k.)

e. For each of the possible values of k, what is the value of P(X=k)?

f. Draw a bar graph with k on the x-axis and P(X=k) on the y-axis.

g. For the value of k that corresponds to the outcome of the N=18 students above, what is P(X=k)?