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L15.2082 - Statistics for Business and Economics (2024/2025)
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Consider the joint probability distribution:
| x = 1 | x = 2 | |
|---|---|---|
| y = 0 | 0.2 | 0.25 |
| y = 1 | 0.3 | 0.25 |
What is E[Y | X = 1]?
The Bernoulli distribution can model the outcome of a single roll of a fair six-sided die.
Which correlation coefficient best matches the scatterplot shown below?
A portfolio is invested in stocks Alpha and Beta with 30% of the portfolio invested in Alpha. The exhibit below illustrates the covariance matrix and expected returns with respect to the portfolio.
The correlation coefficient (r) between alpha and beta is closest to:
Which correlation coefficient best matches the scatterplot shown below?
Let
X be a discrete random variable with the following probability mass function:
f(x) = 0.25 for x = 0,1,2,3What is the expected value of X?Which correlation coefficient best matches the scatterplot shown below?