An insurance policy pays for a random loss X subject to a deductible of C, where 0 < C < 1. The loss amount is modeled as a continuous random variable with density function

Given a random loss X, the probability that the insurance payment is less than 0.5 is equal to 0.64. Calculate C. Choose one of the following.

(a) 0.1

(b) 0.3 

(c) 0.4 

(d) 0.6 

(e) 0.8

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f(x) = 2x for 0 < x < 1 lo otherwise.