Question 1

The reliability of a new model of CD player can be described by the exponential function R(t) = 2.7-S1U1P1(1/3S1S1P0)S1U1P1tS1S1P0, 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 4 years after it is manufactured?
A) $2 \%$
B) $9 \%$
C) $92 \%$
D) $27 \%$

Accepted Answer

The answer of The reliability of a new model of...

Question 2

The reliability of a new model of CD player can be described by the exponential function R(t) = 2.7-S1U1P1(1/3S1S1P0)S1U1P1tS1S1P0, 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 $\frac { 1 } { 4 }$ of a year after it is manufactured?
A) $9 \%$
B) $92 \%$
C) $72 \%$
D) $27 \%$

Accepted Answer

The correct formula for reliability R(t) is R(t) = e^(-λt), where λ is the failure rate. Substituting t = 1/4 into the given formula R(t) = 2.7^(1/3 * t), we get R(1/4) = 2.7^(1/3 * 1/4) = 2.7^(-1/12). Calculating this gives a value close to 0.92, which, when converted to a percentage, is 92%.

Quiz 12: Exponential and Logarithmic Functions