Common Probability Distributions
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Question 1 of 13
1. Question
A discrete random variable X has the following probability distribution.
X = {1,2,3,4,5}, p(x)=x/k
What is the value of k for probability distribution to be valid?
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Question 2 of 13
2. Question
A discrete random variable X has the following probability distribution.
X = {1,2,3,4,5}, p(x)=x/15
What is the value of F(3)?
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Question 3 of 13
3. Question
An analyst follows a list of 7 stocks. On any given day, the probability of picking the top performing stock for the day is 0.3. For every 5 consecutive days, what is the probability of picking the top performing stock at least 4 out of the 5 days?
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Question 4 of 13
4. Question
In any given day, a stock has a probability of 65% for an up move.
The expected increase in the event of an up move is 2.5%.
The expected decrease in the event of a down move is also 2.5%.In 3 consecutive days, what is the probability of having less than 2 up moves?
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Question 5 of 13
5. Question
In any given day, a stock has a probability of 65% for an up move.
The expected increase in the event of an up move is 2.5%.
The expected decrease in the event of a down move is also 2.5%.In 3 consecutive days, what is the % change is price if there are 3 up moves?
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Question 6 of 13
6. Question
The EPS of stocks in a large market was found to have a mean of $12.50 and standard deviation of $32. The distribution can approximated to a normal distribution.
What is the percentage of stocks that have an EPS greater than $50?
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Question 7 of 13
7. Question
The EPS of stocks in a large market was found to have a mean of $12.50 and standard deviation of $32. The distribution can approximated to a normal distribution.
What is the 95% confidence interval for the EPS?
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< X <
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Question 8 of 13
8. Question
The EPS of stocks in a large market was found to have a mean of $12.50 and standard deviation of $32. The distribution can approximated to a normal distribution.
Sort the value of these from highest to lowest.
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F[76.5]-F[44.5]
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F[44.5]-F[12.5]
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F[-19.5]
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Question 9 of 13
9. Question
Portfolio A B C Expected Return 8% 5% 16% Std Deviation 12% 2.5% 14% Given a threshold return of 4%, sort the portfolios from the most suitable to the least suitable based on Roy’s safety first criterion.
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Portfolio C
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Portfolio A
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Portfolio B
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Question 10 of 13
10. Question
Portfolio A B C Expected Return 8% 5% 16% Std Deviation 12% 2.5% 14% Given a threshold return of 4%, what is the shortfall risk for Portfolio C?
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Question 11 of 13
11. Question
Peter bought a stock 2 years ago at $200. He sells it off today at $322.
What is the continuous compounded annual rate of return for the stock?
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Question 12 of 13
12. Question
Which of these is least likely a limitation of Monte Carlo Simulation?
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Question 13 of 13
13. Question
An analyst follows a list of 7 stocks. On any given day, the probability of picking the top performing stock for the day is 0.3. For every 5 consecutive days, what is the expected number of days that the analyst did NOT pick the top performing stock?
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