1. If only one of several events can occur at a time, we refer to these events as being mutually exclusive events.
True or False
2. The Cunard luxury liner, Queen Elizabeth 2, cannot be docked in Hong Kong and Bangkok at the same time. Events such as these that cannot occur simultaneously are said to be outcomes.
True or False
3. Bayes' theorem is used to calculate a subjective probability.
True or False
4. The National Center for Health Statistics reported that of every 883 deaths in recent years, 24 resulted from an automobile accident, 182 from cancer and 333 from heart disease. Using the relative frequency approach, what is the probability that a particular death is due to an automobile accident?
A) 24/883 or 0.027
B) 539/883 or 0.610
C) 24/333 or 0.072
D) 182/883 or 0.206
5. If two events A and B are mutually exclusive, what does the special rule of addition state?
A) P(A or B) = P(A) + P(B)
B) P(A and B) = P(A) + P(B)
C) P(A and/or B) = P(A) + P(B)
D) P(A or B) = P(A) - P(B)
6. There are 10 rolls of film in a box and 3 are defective. Two rolls are to be selected without replacement. What is the probability of selecting a defective roll followed by another defective roll?
A) 1/2, or 0.50
B) 1/4, or 0.25
C) 1/120, or about 0.0083
D) 1/15, or about 0.07
7. A lamp manufacturer has developed five lamp bases and four lampshades that could be used together. How many different arrangements of base and shade can be offered?
A) 5
B) 10
C) 15
D) 20
8. The first card selected from a standard 52-card deck was a king. If it is NOT returned to the deck, what is the probability that a king will be drawn on the second selection?
A) 1/3 or 0.33
B) 1/51, or 0.0196
C) 3/51, or 0.0588
D) 1/13 or 0.077
9. When are two events mutually exclusive?
A) They overlap on a Venn diagram
B) If one event occurs, then the other cannot
C) Probability of one affects the probability of the other
D) Both (a) and (b)
10. The process used to calculate the probability of an event given additional information has been obtained is
A) Bayes's theorem.
B) classical probability.
C) permutation.
D) subjective probability.
11. If there are five vacant parking places and five automobiles arrive at the same time, in how many different ways they can park?
12. To construct a binomial probability distribution, the number of trials and the probability of success must be known.
True or False
13. Which is true for a binomial distribution?
A) There are three or more possible outcomes
B) Probability of success remains the same from trial to trial
C) Value of p is equal to 1.50
D) All of the above are correct
14. A study of the opinion of designers with respect to the primary color most desirable for use in executive offices showed that:
What is the probability that a designer does not preferred?
A) 1.00
B) 0.77
C) 0.73
D) 0.23
15. An automatic machine inserts mixed vegetables into a plastic bag. Past experience revealed that some packages were underweight and some were overweight, but most of them had satisfactory weight.
What is the probability of selecting three packages that are satisfactory?
A) 0.900
B) 0.810
C) 0.729
D) 0.075
16. A cell phone salesperson has kept records on the customers who visited the store. 40% of the customers who visited the store were female. Furthermore, the data show that 35% of the females who visited his store purchased a cell phone, while 20% of the males who visited his store purchased a cell phone. Let represent the event that a customer is a female, represent the event that a customer is a male, and B represent the event that a customer will purchase a phone. (3 answers for this questions.)
16 A.What is the probability that a female customer will purchase a cell phone?
16 B.What is the probability that a male customer will purchase a cell phone?
16 C.The salesperson has just informed us that a cell phone was purchased. What is the probability that customer was female?
17. Draw a Venn diagram showing the probability for two mutually exclusive events and a Venn diagram showing the probability for two events that are not mutually exclusive. Explain the difference in the two diagrams.If you are not able to draw, then explain the diagram - how it would look.Worth 4 points.
18. A new computer game has been developed and 80 veteran game players will test its market potential. If sixty players liked the game, what is the probability that any veteran game player will like the new computer game? _______
19. When applying the special rule of addition for mutually exclusive events, the joint probability is:
A) 1
B) .5
C) 0
D) unknown
20. Routine physical examinations are conducted annually as part of a health service program for the employees. It was discovered that 8% of the employees needed corrective shoes, 15% needed major dental work and 3% needed both corrective shoes and major dental work. What is the probability that an employee selected at random will need either corrective shoes or major dental work?
A) 0.20
B) 0.25
C) 0.50
D) 1.00
E) None of the above
21. Calculate the sample mean, sample variance, and sample standard deviation for the following data set: 3.0 ; 3.4 ; 2.6 ; 3.3 ; 3.5 ; 3.2