62. In deciding upon the appropriate premium to charge, insurance companies sometimes use the exponential principle, defined
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62. In deciding upon the appropriate premium to charge, insurance companies sometimes use the exponential principle, defined as follows. With X as the random amount that it will have to pay in claims, the premium charged by the insurance company is
where a is some specified positive constant. Find P whenX is an exponential random variable with parameter λ, and a = αλ, where 0
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