Describe the complement of the given event.
1)  A student from a community college is selected at random. The event A is defined as follows. A = event the student is between 26 and 35 inclusive.
A) The event the student is over 35
B) The event the student is at most 26 or at least 35
C) The event the student is under 26 or over 35
D) The event the student is under 26 and over 35


Find the indicated probability.
2) A study conducted at a certain college shows that 53% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 5 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.
A) 0.530 B) 0.958 C) 0.200 D) 0.977


Identify the given random variable as being discrete or continuous.
3) The number of field goals kicked in a football game
A) Discrete B) Continuous



Solve the problem.
4) In a game, you have a 1/34 probability of winning $91 and a 33/34 probability of losing $9. What is your expected value?
A) $11.41 B) $2.68 C) -$6.06 D) -$8.74



Determine whether the given procedure results in a binomial distribution. If not, state the reason why.
5) Choosing 5 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green) one at a time with replacement, keeping track of the colors of the marbles chosen.
A) Not binomial: there are more than two outcomes for each trial.
B) Not binomial: there are too many trials.
C) Not binomial: the trials are not independent.
D) Procedure results in a binomial distribution.


Find the indicated probability.
6) What is the probability that 4 rolls of a fair die will show exactly three fours?
A) 0.0231 B) 0.0154 C) 0.0039 D) 0.0116



7) A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test?
A) 0.172 B) 0.377 C) 0.205 D) 0.828



Find the mean, mu, for the binomial distribution which has the stated values of n and p. Round answer to the nearest tenth.
8) n = 1603; p = .57
A) mu = 906.2 B) mu = 921.0 C) mu = 923.4 D) mu = 913.7



Find the standard deviation, sigma, for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth.
9) n = 682; p = .7
A) sigma = 9.56 B) sigma = 15.24 C) sigma = 11.97 D) sigma = 16.09



If Z is a standard normal variable, find the probability.
10) The probability that Z is less than 1.13
A) 0.8708 B) 0.1292 C) 0.8907 D) 0.8485



11) P(Z > 0.59)
A) 0.2224 B) 0.2190 C) 0.2776 D) 0.7224



The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0degreeC at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0degreeC (denoted by negative numbers) and some give readings above 0degreeC (denoted by positive numbers). Assume that the mean reading is 0degreeC and the standard deviation of the readings is 1.00degreeC. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information.
12) A quality control analyst wants to examine thermometers that give readings in the bottom 7%. Find the reading that separates the bottom 7% from the others.
A) -1.63degree B) -1.48degree C) -1.89degree D) -1.75degree



1) Answer: C

2) Answer: D

3) Answer: A

4) Answer: C

5) Answer: A

6) Answer: B

7) Answer: B

8) Answer: D

9) Answer: C

10) Answer: A

11) Answer: C

12) Answer: B