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?
a)
here for exponential distribution parameter β = 9 |
probability that a the laptop work effectively more than 6 years :
P(X>6)=1-P(X<6)=1-(1-exp(-6/9))=0.5134 |
b)
pth percentile =-β*ln(1-p) |
therefore 80th percentile =-9*ln(1-80/100)=14.485 years |
2- On the average, a certain type of laptop works effectively for nine years. The length...
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?
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?
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?
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?
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? ho b) (8%) Eighty percent of computer purts last at most how long?
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