1. The problem statement, all variables and given/known data The probability that a particular computer chip fails after a hours of operation is given by 0.00005∫e^(-0.00005t)dt on the interval [a, ∝] i. find the probability that the computer chip fails after 15,000 hours of operation ii. of the chips that are still operating after 15,000 hours, what fraction of these will operate for at least another 15,000 hours? iii. Evaluate 0.00005∫e^(-0.00005t)dt [0, ∝]t and interpret its meaning in the context of the situation. 2. Relevant equations 0.00005∫e^(-0.00005t)dt [a, ∝] a= hours of operation 3. The attempt at a solution i. do I evaluate P(0≤ x≤15000)= 0.00005∫e^(-0.00005t)dt on the interval [0, 15000] ii. do I evaluate P(15000≤ x≤ 30000)= 0.00005∫e^(-0.00005t)dt on the interval [15000, 30000] iii. would the meaning of this integral evaluation be the total operating life expectancy of the computer chip (hrs)? please accept my apologies if this appears quite messy. I am not very good at using latex or typing equations and would much rather the old school pen and paper. Please note: -0.00005t is the supercript for e in the formula THANK YOU.