STAT200 final exam 2016
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On Multiple Choice questions, please explain and/or show your work as necessary. Other questions please show your work as well.
_____1. Ten different senators are randomly selected without replacement, and the
number of terms that they have served are recorded. Does this constitute a binomial distribution?
Select an answer, and then state why.
_____2. Which of the following pairs are NOT independent events?
a. Flipping a coin and getting a head, then flipping a coin and getting a tail
b. Throwing a die and getting a 6, then throwing a die and getting a 5
c. Selecting a red marble from a bag, returning the marble to the bag, then selecting a blue
d. Drawing a spade from a set of poker cards, setting the card aside, then selecting a
diamond from the set of poker cards
e. All of the above are independent events
_____3. Exam scores from a previous STATS 200 course are normally distributed with a
mean of 74 and standard deviation of 2.65. Approximately 95% of its area is within:
a. One standard deviation of the mean
b. Two standard deviations of the mean
c. Three standard deviations of the mean
d. Depends on the number of outliers
e. Must determine the z-scores first to determine the area
_____4. You had no chance to study for the final exam and had to guess for each
question. The instructor gave you three choices for the final exam:
I: 10 questions, each question has 5 choices, must answer at least 4 correct to pass
II: 5 questions, each question has 4 choices, must answer at least 3 correct to pass
III: 4 questions, each question has 6 choices, must answer at least 2 correct to pass
Which final exam format offers the highest probability to pass?
a. Final exam I
b. Final exam II
c. Final exam III
d. All three final formats have equal probabilities
e. Need more information to compute probabilities...