The reliability of a new model of CD player can be described by the exponential function R(t) = 2.7-(1/3)t, where the reliability R is the probability (as a decimal) that the CD player is still working t years after it is manufactured. Round the answer to the nearest hundredth. Then write your answer as a percent.
-What is the probability that the CD player will still work $\frac { 1 } { 6 }$ of a year after it is manufactured?
A) $6 \%$
B) $72 \%$
C) $95 \%$
D) $14 \%$

Question

Quizplus · Accepted Answer

The reliability function R(t) = 2.7 - (1/3)t is used to find the probability. Plugging in t = 1/6, we get R(1/6) = 2.7 - (1/3)(1/6) = 2.7 - 1/18 = 2.7 - 0.0556 = 2.6444. However, this function seems incorrect for a probability function, as probabilities should be between 0 and 1. Assuming a typo, if we consider a correct exponential decay function, the closest reasonable answer is 95%.

The Reliability of a New Model of CD Player Can 16\frac { 1 } { 6 }61​

The Reliability of a New Model of CD Player Can $\frac { 1 } { 6 }$