Question

The life, in years, of a certain type of electrical switch has an exponential distribution with an average life ? = 2. If 100 of these switches are installed in different systems, what is the probability that at most 30 fail during the first year? The probability is .

          The life, in years, of a certain type of electrical switch has an exponential distribution with an average life ? = 2. If 100 of these switches are installed in different systems, what is the probability that at most 30 fail during the first year?
The probability is .

The life, in years, of a certain type of electrical switch has an exponential distribution with an average life ? = 2. If 100 of these switches are installed in different systems, what is the probability that at most 30 fail during the first year?
The probability is .

Added by Sara A.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Adi S

07/14/2022

Step 1

The average life \( \beta = 2 \) years, which means the rate \( \lambda = \frac{1}{\beta} = \frac{1}{2} \). Show more…

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The life, in years, of a certain type of electrical switch has an exponential distribution with an average life β = 2. If 100 of these switches are installed in different systems, what is the probability that at most 30 fail during the first year? The probability is