Suppose the lifetime of EACH(blue, green or black) component follows an exponential distribution with mean 85 hours. (Be careful with your calculations....any rounding can result in an incorrect answer.....l suggest you use EXCEL for this question). Give all answers to FOUR decimal places. C₁ C₂ C3 C₁ (i) What is the probability that a single component will last 80 hours? C5 (ii) What is the probability that a single component will last longer than 80 hours? (iii) What is the probably that the top branch (containing C₁, C₂, and C3) last longer than 80 hours?
Suppose the lifetime of EACH(blue, green or black) component follows an exponential distribution with mean 85 hours. (Be careful with your calculations....any rounding can result in an incorrect answer.....l suggest you use EXCEL for this question). Give all answers to FOUR decimal places. C₁ C₂ C3 C₁ (i) What is the probability that a single component will last 80 hours? C5 (ii) What is the probability that a single component will last longer than 80 hours? (iii) What is the probably that the top branch (containing C₁, C₂, and C3) last longer than 80 hours?
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
Transcribed Image Text:Suppose the lifetime of EACH (blue, green or black) component follows an exponential distribution
with mean 85 hours.
(Be careful with your calculations....any rounding can result in an incorrect answer.....I suggest you
use EXCEL for this question). Give all answers to FOUR decimal places.
C₁
C₂
C3
C₁
(i) What is the probability that a single component will last 80 hours?
C5
(ii) What is the probability that a single component will last longer than 80 hours?
(iii) What is the probably that the top branch (containing C₁, C₂, and C3) last longer than 80 hours?
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