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Question 1 of 24
1. Question
Calculate skew and kurtosis of X
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Question 2 of 24
2. Question
Using table
Roll Outcome(X) 1 5 2 6 3 3 4 2 5 4 standardize X and validate if mean and variance is 0 and 1.
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Question 3 of 24
3. Question
Given below are outcomes on rolling a dice:
Roll Outcome(X) 1 5 2 6 3 3 4 2 5 4 Calculate mean and variance of X
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Question 4 of 24
4. Question
When X is a continuous random variable, quantile is the inverse of CDF.
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Question 5 of 24
5. Question
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Question 6 of 24
6. Question
Read the following statements and choose the correct option.
Statement 1: Interquartile range is the difference between 75% and 25% quantiles.
Statement 2: It is comparable to standard deviation and is affected by outliers
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Question 7 of 24
7. Question
Read the following statements and choose the correct option.
Statement 1: Median is a point wherein half probability is below it and half above it
Statement 2: In case of symmetric distribution, mean and median are different from each other
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Question 8 of 24
8. Question
If m and n are constants, then Var(mX + n):
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Question 9 of 24
9. Question
Right skewed distributions have
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Question 10 of 24
10. Question
Let Y= a + bX be a linear equation with a and b as constants. If b<0 ie decreasing transformation, then skewness will have:
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Question 11 of 24
11. Question
What is the value of standard kurtosis of a normal distribution?
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Question 12 of 24
12. Question
In a negatively skewed distribution, which one of the following is a correct option for meanmedian and mode?
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Question 13 of 24
13. Question
A distribution that has kurtosis greater than 3 is described as:
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Question 14 of 24
14. Question
If the tails of a distribution are thinner than a normal distribution, that distribution is
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Question 15 of 24
15. Question
The units of the variance are the squared units of the random variable.
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Question 16 of 24
16. Question
Using the following table:
Probability Return of Portfolio 0.60 12% 0.40 6% Calculate variance of portfolio:
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Question 17 of 24
17. Question
Using the following table:
Probability Return of Portfolio 0.60 12% 0.40 6% Calculate expected return of portfolio
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Question 18 of 24
18. Question
Due to economic slowdown, there is 70% chance country A will not be able to meet its GDP estimate. If GDP estimates are met, market will soar resulting into 25% returns for ABC fund otherwise it will have 10% return. What is expected return for ABC fund?
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Question 19 of 24
19. Question
Read the following statements about Cumulative distribution function and choose the correct option:
Statement 1: it measures total probability of observing a value less than or equal to input variable
Statement 2: It is flat in nature.
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Question 20 of 24
20. Question
Values returned from probability mass function must be ____________ and sum of all values must be equal to one.
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Question 21 of 24
21. Question
Read the following statements about discrete random variables and choose the correct option?
 Used to assign probability to a set of different values and it has numerical values.
 Only finite set of values are used for probability calculation, Bernoulli one such example with 0 and 1
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Question 22 of 24
22. Question
Match the following with correct option indicating whether it is a discrete/continuous variable.
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Question 23 of 24
23. Question
Numbers of cars sold at a car dealership is an example of continuous variable?
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Question 24 of 24
24. Question
Moments are used to summarize the key features of random variables. Which of the following is not a moment?
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