Question

You purchase a certain product. The manual states that the lifetime T of the product, defined as the amount of time (in years) the product works properly until it breaks down, satisfies P(T≥t)=e^(-t/5), for all t≥0. For example, the probability that the product lasts more than (or equal to) 2 years is P(T≥2)=e^(-2/5)=0.6703. I purchase the product and use it for two years without any problems. What is the probability that it breaks down in the third year?

Name: you purchase a certain product the manual states that the lifetime t of the product defined as the amount of time in years the product works properly until it breaks down satisfies pttet5 fo 92078
Uploaded: 2022-12-29T23:47:38-08:00
Duration: 2 min 21 s
Channel: Lucas Finney
Description: you purchase a certain product the manual states that the lifetime t of the product defined as the amount of time in years the product works properly until it breaks down satisfies pttet5 fo 92078

          You purchase a certain product. The manual states that the lifetime T of the product, defined as the amount of time (in years) the product works properly until it breaks down, satisfies P(T≥t)=e^(-t/5), for all t≥0. For example, the probability that the product lasts more than (or equal to) 2 years is P(T≥2)=e^(-2/5)=0.6703. I purchase the product and use it for two years without any problems. What is the probability that it breaks down in the third year?

Added by Jennifer H.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Lucas Finney

12/29/2022

Step 1

Given: P(T≥t) = e^(-t/5) For t = 3, P(T≥3) = e^(-3/5) = e^(-3/5) ≈ 0.5488 Show more…

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You purchase a certain product. The manual states that the lifetime T of the product, defined as the amount of time (in years) the product works properly until it breaks down, satisfies P(T≥t)=e^(-t/5), for all t≥0. For example, the probability that the product lasts more than (or equal to) 2 years is P(T≥2)=e^(-2/5)=0.6703. I purchase the product and use it for two years without any problems. What is the probability that it breaks down in the third year?