1. The expected number of wins for that upcoming month is:

a. 1.67

b. 12

c. 382/1043

d. 4.43

Let X = the number of games won in that upcoming month.

2. What is the probability that the San Jose Sharks win six games in that upcoming month?

a. 0.1476

b. 0.2336

c. 0.7664

d. 0.8903

3. What is the probability that the San Jose Sharks win at least five games in that upcoming month

a. 0.3694

b. 0.5266

c. 0.4734

d. 0.2305

4. A student takes a ten-question true-false quiz, but did not study and randomly guesses each answer. Find the probability that the student passes the quiz with a grade of at least 70% of the questions correct.

5. A student takes a 32-question multiple-choice exam, but did not study and randomly guesses each answer. Each question has three possible choices for the answer. Find the probability that the student guesses more than 75% of the questions correctly. 94. Six different colored dice are rolled. Of interest is the number of dice that show a one.

a. In words, define the random variable X.

b. List the values that X may take on.

c. Give the distribution of X. X~

d. On average, how many dice would you expect to show a one?

e. Find the probability that all six dice show a one.

f. Is it more likely that three or that four dice will show a one? Use numbers to justify your answer numerically.

6. More than 96 percent of the very largest colleges and universities (more than 15,000 total enrollments) have some online offerings. Suppose you randomly pick 13 such institutions. We are interested in the number that offer distance learning courses.

a. In words, define the random variable X.

b. List the values that X may take on.

c. Give the distribution of X. X~

d. On average, how many schools would you expect to offer such courses?

e. Find the probability that at most ten offer such courses.

f. Is it more likely that 12 or that 13 will offer such courses? Use numbers to justify your answer numerically and answer in a complete sentence.