Question

QUESTION 6 The time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with rate 0.0005. Round your answers to 4 decimal places. (a) What proportion of fans will last at least 10000 hours? (b) What proportion of fans will last at most 8000 hours? QUESTION 7 Given the probability density function f(x)=(0.02^9 x^8*e^(-0.02x))/8! for x>0 and f(x)=0 otherwise. Determine the mean and variance of the distribution. Round the answers to the nearest integer. a) the mean b) The variance

Answer 1

Answer: "Given that, EY Ponential distribution with sate%0.0005 -22 f(x) = ne PO) = 0.0005 e , 720 a) glat lea PCAllea St 10.000 hours) - ? PC x 210 COo) 10.000 - OCO 53. dx = [ -e 0.000570 10.000 2-0 + 0.0005(10.000) -6.6667 PCAtleast 10.000 hours) : 0.0067 b) PC Almost 8000 hours)? 8,000 PCX5 8000)0.0005 20.00097 dx -0.00057 -e 0.00052,800 -0.0005 (8000) =-e = -0.0183+1 -0.9816 question for other pCalmost 8000 hours) = 0.9816 Note: According to HomeworkLib policy answered one de maing please se post the question - Thank you