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Suppose a random variable X has the density function as shown the following figure. 1. Write the density function f(x) for this random variable. 2.

Suppose a random variable X has the density function as shown the following figure.

1. Write the density function f(x) for this random variable.

2. What must be the value of c?

3. Write the CDF F(x) of this random variable.

4. What is E(X)?

5. What is the variance of X?

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