the meaning of this z-score with respect to this car’s repair costs relative to the rest of
the sample
(2 Points)
Question 3 (10 Points)
Tammy is a general contractor and has submitted two bids for two projects (A and B).
The probability of getting project A is 0.65.
The probability of getting project B is 0.77.
The probability of getting at least one of the projects is 0.90.
a.
What is the probability that she will get both projects?
(3 Points)
7

b.
Are the events of getting the two projects mutually exclusive?
Explain, using
probabilities.
(3 Points)
c.
Are the two events independent?
Explain, using probabilities.
(3 Points)
Question 4 (8 Points)
a.
Assume that the flight time for Kenya Airways flight 1267 from Nairobi to Lusaka
follows the uniform probability distribution between 210 and 250 minutes. What is
the probability that a randomly selected flight will take more than 215 minutes?
(3
Points)
b.
General Hospital has noted that they admit an average of 10 patients per hour
i.
What is the probability that during the next hour less than 3 patients will be
admitted?
(3 Points)
ii.
What is the probability that during the next two hours exactly 8 patients will
be admitted?
(2 Points)
8

Question 5 (5 Points)
Write out the sample space for the given experiment (Use a tree diagram to help you with
enumerating the sample space). Separate your answers using commas. When deciding
what you want to put into a salad for dinner at a restaurant, you will choose one of the
following extra toppings: olives, asparagus. Also, you will add one of the following
meats: bacon, eggs. Lastly, you will decide on one of the following dressings: vinaigrette,
French. (Note: use the following letters to indicate each choice: O for olives, A for
asparagus, B for bacon, E for eggs, V for vinaigrette, and F for French.)
(5 Points)
9

Question 6 (5 Points)
The following graph shows the height of the tallest mountains in the world in hundreds of
meters. The tallest mountain in the world is 8,848 meters; note that the ones place is
missing in the graph below (for example 8,848 is represented as 884).

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- Fall '18
- F. TAILOKA