导读：统计概率问题求解答Let the value of your car be M dollars. When you ge 统计概率问题求解答Let the value of your car be M dollars. When you get into an accident, the amount of damage to your car is a random vari...
统计概率问题求解答Let the value of your car be M dollars. When you ge
统计概率问题求解答
Let the value of your car be M dollars. When you get into an accident, the amount of damage to your car is a random variable X with the probability density function
f(x)={2(M−x)/M^2 if 0≤x≤M
0 else
You have insurance with an M/2 dollar deductible. That is you pay only the first M/2 dollars of damage, and the insurance company pays any amount of damage over M/2. Let Y be the amount you pay for the damage.
(a) Find the cumulative distribution function of X at M=3500
(b) Find the following probabilities. The first three compute parts of the c.d.f. for Y.
1. P(Y≤y) for 0
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