Question: The nonnegative function f given below is a probability density function.f(t)={67e-6t7ift00ift <0Find P(0t5).(Round your answer to four decimal places.)The capitalised cost is given by the

The nonnegative function f given below is a probability density function.f(t)={67e-6t7ift00ift<0Find P(0t5).(Round your answer to four decimal places.)The capitalised cost is given by the following function, where C0 is the original investment, t is the time in years, r is the annual interest rate compounded continususir, and c(t) is the annual cost of mainterance.c=c00nc(t)e-ntdtFind the capitalized cost C of an asset considering the following information. (Mound your answers to the nearest cent.)C0=$300,000c(r)=s25,000r=0.00(a) Find the captalized cost C of an asset for n=5 years.$1,003,091.30,(b) Find the capitalized cost C of an asset for n=10 years.$107206830(c) Find the capitalized cost C of an asset for "forever."$

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