A loss under a liability policy is modeled by an exponential distribution. The insurance company will cover the amount of that loss in excess of a deductible of 2,000. The probability that the reimbursement is less than 6,000, given that the loss exceeds the deductible, is 0.50. Calculate the probability that the reimbursement is greater than 3,000 but less than 9,000, given that the loss exceeds the deductible.

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see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph