Financial Risk Manager Part 1

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The following is the probability mass function for a discrete random variable X, $P(x) = \frac{x}{100}; X = 10, 20, 30, 40$

Determine the CDF at X=30, i.e., F(30)

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0.2

0.3

0.7

0.6

Explanation:

The cumulative distribution function (cdf) F(x) defines the probability of a random variable X, and assumes a value equal to or less than a specified value, x. As such:

F(30) = P(X \leq 30) \\ = P(X = 10) + P(X = 20) + P(X = 30) \\ = \frac{10}{100} + \frac{20}{100} + \frac{30}{100} \\ = 0.6 \text{ or } 60\%

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