Question

Damage cost (x) to a car in a crash is modeled by c(x2 – 60x + 800) , 0 < x < 20 f (x) = 0, otherwise where c is a constant. A particular car is insured with a deductible of 2. The car was involved in a crash with resulting damages in excess of the deductible. Calculate the probability that the damages exceeded 10.

Answer 1

To calculate the probability that the damages exceeded 10 for a car insured with a deductible of 2, we need to find the area under the curve of the damage cost function from x = 10 to x = 20.

Step-by-step explanation:

To calculate the probability that the damages exceeded 10 for a car insured with a deductible of 2, we need to find the area under the curve of the damage cost function from x = 10 to x = 20.

The damage cost function is c(x^2 – 60x + 800), where c is a constant. Since x > 10 is the range of interest, we can ignore the function f(x) in this case.

To find the probability, we need to calculate the definite integral of the damage cost function from x = 10 to x = 20. The resulting value will give us the probability that the damages exceeded 10.

Answer 2

0.2

Step-by-step explanation:

solution is down below