Problem 8-28 The exponential distribution applies to lifetimes of a certain component. Its failure rate is unknown. Find the probability that the component will survive past 5 years assuming:

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Problem 8-28 The exponential distribution applies to lifetimes of a certain component. Its failure rate is unknown. Find the probability that the component will survive past 5 years assuming:

(a) lambda=.5

Pr=

(b) lambda=0.9

Pr=

(c) lambda=1.1

Pr=

answer : a) P( X> 5 ) = 0.0821

              b) P( X > 5 ) = 0.0111

              c) P ( X > 5 ) = 0.00409

Step-by-step explanation:

A) P( X > 5 ) = exp ( - λ * x )

   = ≈ 0.082

B)  P( X > 5 ) = exp ( - λ * x )  

  = ≈ 0.0111

C) P( X > 5 ) = exp ( - λ * x )  

 =  ≈ 0.00409

for the first question it would be the second answer for the second question it would be the third answer and for the third question it would be the first answer

step-by-step explanation:

cut 138 centimeters off

step-by-step explanation:

250-112 = 138