In: Statistics and Probability
1) The waiting time at an elevator is uniformly distributed between 30 and 200 seconds. What is the probability a rider waits less than two minutes?
A) 0.4706
B) 0.5294
C) 0.6000
D) 0.7059
2) For any normally distributed random variable with mean μ and standard deviation σ, the percent of the observations that fall between [μ - 2σ, μ + 2σ] is the closest to ________.
A) 68%
B) 68.26%
C) 95%
D) 99.73%
3) Which of the following can be represented by a continuous random variable?
A) The time of a flight between Chicago and New York
B) The number of defective light bulbs in a sample of five
C) The number of arrivals to a drive-through bank window in a four-hour period
D) The score of a randomly selected student on a five-question multiple-choice quiz
4) An analyst believes that a stock's return depends on the state of the economy, for which she has estimated the following probabilities:
State of the Economy |
Probability |
Return |
||
Good |
0.10 |
15 |
% |
|
Normal |
0.60 |
13 |
% |
|
Poor |
0.30 |
7 |
% |
|
According to the analyst's estimates, the expected return of the stock is ________.
A) 7.8%
B) 11.4%
C) 11.7%
D) 13.0%
5) How would you characterize a consumer who is risk loving?
A) A consumer who may accept a risky prospect even if the expected gain is negative.
B) A consumer who demands a positive expected gain as compensation for taking risk.
C) A consumer who completely ignores risk and makes his or her decisions solely on the basis of expected values.
D) None of the above.