The useful life of an electrical component is exponentially distributed with a mean of 1000 hours a. What is the probability the

Question

2 years ago

6

circuit will last more than 2000 hours?

1 answer:

julia-pushkina [17] · Answer 1 · 2022-05-04T09:32:18+03:00

Answer:

0.865

Step-by-step explanation:

To solve for the probability we would be using the formula:

F(x) = 1 - e^−λx

Therefore, P(x > 2000) = F(x) = 1 - e^−λx

Mean = 1000 hours

λ = 1/mean = 1/1000 hours

x= 2000 hours

F(x) = 1 - e^−(1/1000)2000

F(x) = 1 - e^−2

= 0.8646647168

Therefore, the probability the the circuit will last at least 2000 hours = 0.865