theojd
02-07-2011, 10:44 PM
Why does the solution use F(x)=1-e^(-x/10,000) as opposed to the adjusted F*(x)=( F(x)-F(d) ) / ( 1-F(d) ) ?
Is it because the exponential is memoryless?
Shouldn't the answer be the same either way? When I try to create the adjusted F*(x) I get negative numbers when I input values of x.
I get F*(x) = 1-S*(x) = 1-S(x)/S(d) = 1 - e^(-x/6,000) / e^(-10,000/6,000)
= 1 - e^(10,000-x)/6,000
Inputting the x values yields negative numbers. I feel like there is something obvious I am overlooking. Anyone care to enlighten me?
Is it because the exponential is memoryless?
Shouldn't the answer be the same either way? When I try to create the adjusted F*(x) I get negative numbers when I input values of x.
I get F*(x) = 1-S*(x) = 1-S(x)/S(d) = 1 - e^(-x/6,000) / e^(-10,000/6,000)
= 1 - e^(10,000-x)/6,000
Inputting the x values yields negative numbers. I feel like there is something obvious I am overlooking. Anyone care to enlighten me?