F1B2C02 Random Variable Quiz

Calculate skew and kurtosis of X

Using table

standardize X and validate if mean and variance is 0 and 1.

Given below are outcomes on rolling a dice:

Calculate mean and variance of X

When X is a continuous random variable, quantile is the inverse of CDF.

See the below graph and choose the correct description of graph:

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

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

If m and n are constants, then Var(mX + n):

Right skewed distributions have

Let Y= a + bX be a linear equation with a and b as constants. If b<0 ie decreasing transformation, then skewness will have:

What is the value of standard kurtosis of a normal distribution?

In a negatively skewed distribution, which one of the following is a correct option for mean-median and mode?

A distribution that has kurtosis greater than 3 is described as:

If the tails of a distribution are thinner than a normal distribution, that distribution is

The units of the variance are the squared units of the random variable.

Using the following table:

Calculate variance of portfolio:

Using the following table:

Calculate expected return of portfolio

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?

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.

Values returned from probability mass function must be ____________ and sum of all values must be equal to one.

Read the following statements about discrete random variables and choose the correct option?

1. Used to assign probability to a set of different values and it has numerical values.
2. Only finite set of values are used for probability calculation, Bernoulli one such example with 0 and 1

Match the following with correct option indicating whether it is a discrete/continuous variable.

Numbers of cars sold at a car dealership is an example of continuous variable?

Moments are used to summarize the key features of random variables. Which of the following is not a moment?