Question

2. On the average, a certain type of laptop works effectively for nine years. The length of time this certain laptop works effectively is exponentially distributed. a) (5%) What is the probability that a the laptop work effectively more than 6 years? b) (8%) Eighty percent of computer parts last at most how long?

Answer 1

Probability distribution function for exponential rondom variable de o-ta 27, o years. O ? co here here, average at dis parameter of exponential distábution s! for a given problem g d=.. Lo (a). Probability that laptop will last more 6 years. Pla; 926 f(n) da 6 fto da o = 6 -Toate [s bolg - 43 1) P = 0.5134 CSScanned with CamScanner

we can assume the parts failure time as a exponential function

(6) 80% of laptop parts will work for how long? exponential distribution for this of the parts the parts won't work after years We can use 201 7. P(2) F (2).da 0 n 0.2 10 so t da 0.2 = [ ནག་ [ed ce 02 - . - 중 0.2 = + e 9 e : 0.8 m= 2. years: S$canned with CamScanner