Question

The average lifetime of a certain new cell phone is three years. The manufacturer will replace any cell phone failing within two years of the date of purchase. The lifetime of these cell phones is known to follow an exponential distribution. What is the probability that a phone will fail within two years of the date of purchase? a. 0.8647 b. 0.4866 c. 0.2212 d. 0.9997

          The average lifetime of a certain new cell phone is three years. The manufacturer will replace any cell phone failing within two years of the date of purchase. The lifetime of these cell phones is known to follow an exponential distribution.
What is the probability that a phone will fail within two years of the date of purchase?
a. 0.8647
b. 0.4866
c. 0.2212
d. 0.9997

Added by Eva M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Manisha Sarker

01/11/2022

Step 1

Given that the average lifetime (mean) of the cell phone is 3 years, we have mu = 3. The rate parameter lambda is calculated as lambda = 1 / mu. Therefore, lambda = 1 / 3 = 1/3. Show more…

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The average lifetime of a certain new cell phone is three years. The manufacturer will replace any cell phone failing within two years of the date of purchase. The lifetime of these cell phones is known to follow an exponential distribution. What is the probability that a phone will fail within two years of the date of purchase? a. 0.8647 b. 0.4866 c. 0.2212 d. 0.9997