Question 1:

Car inspection: Of all the registered automobiles in a city, 6% fail the emissions test. Nine automobiles are selected at random to undergo an emissions test. Round the answers to at least four decimal places.

(a) Find the probability that exactly four of them fail the test.

(b) Find the probability that fewer than four of them fail the test.

(c) Find the probability that more than three of them fail the test.

(d) Would it be unusual for none of them to fail the test?

It blank be unusual for none of them to fail the test since the probability is blank.

Question 2:

College bound: A national college researcher reported that 64% of students who graduated from high school in 2012 enrolled in college. Thirty two high school graduates are sampled. Round the answers to four decimal places.

(a) What is the probability that exactly 20 of them enroll in college?

(b) What is the probability that more than 14 enroll in college?

(c) What is the probability that fewer than 14 enroll in college?

(d) Would it be unusual if more than 23 of them enroll in college?

It blank be unusual if more than 23 of them enroll in college since the probability is blank.

Question 3:

Let A and B be events with =P(A)0.6, P(B)=0.3, and =P(A andB)=0.02.

(a) Are A and B independent? Explain.

(b) Compute P (AorB).

(c) Are A and B mutually exclusive? Explain.

Question 4:

Find the mean, median, and mode(s) of the data in the following stem-and-leaf plot. The leaf represents the ones digit.

0	3
1	15
2	4468
3	9

Part 1:

Find the mean. Round your answer to one decimal place, if necessary.

Part 2:

Find the median. Round your answer to one decimal place, if necessary.

Part 3:

Find the mode(s). If there is more than one, separate them with commas.

A. There is no mode.

B. There is at least one mode.

Mode(s): blank.

Question 5:

Craps: In the game of craps, a pair of dice are rolled, and people bet on the outcome. For example, you can bet $1 that the sum of the dice will be 11 (also called "Yo-leven"). The probability that you win is 1/18, and if you win, your profit is $15. If you lose, you lose $1.

(a) What is the expected value of your profit? Round the answer to two decimal places.

The expected value of profit is blank dollars.

(b) Is it an expected gain or an expected loss?

The expected value is blank, so this is an expected loss of blank.