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Assume the probability density function (pdf) of a zero-coupon bond with a notional value of $10.00 is given by ( f(x) = \frac{x}{8} - 0.75 ) on the domain [6,10] where x is the price of the bond:
[ f(x) = \frac{x}{8} - 0.75 \quad \text{s.t. } 6 \leq x \leq 10 \text{ where } x = \text{bond price} ]
What is the probability that the price of the bond is between 9.00?