Please show the answer with the work, GodBless.
1 answer:
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Answer:
For the value of
will be the same of
.
Step-by-step explanation:
To determine for which value of , we need to apply the following identity (
) and solve numerically the resulting expression:
(1)
A quick approach is using graphic tool and looking for the value of such that
. The result of the analysis is included below in the attached image. We find the following result:
For the value of
will be the same of
.
Answer:
The probability that the battery in a critical tool fails at 32 hours was from manufacturer 2 is 0.625
Step-by-step explanation:
Given that:
60% of the batteries are from manufacturer 1
90% of these batteries last for over 40 hours
Let the number of the battery duration be n = 0.90
Therefore n' = 1 - 0.90 = 0.10
Let p = manufacturer 1 and q = manufacturer 2
q = 1 - p
q = 1 = 0.6
q = 0.4
Thus ; 40% of the batteries are from manufacturer 2
However;
Only 75% of the batteries from manufacturer 2 last for over 40 hours.
Let number of battery duration be m = 0.75
Therefore ; m' = 1 - 0.75 = 0.25
A battery in a critical tool fails at 32 hours.
Thus; the that the battery in a critical tool fails at 32 hours was from manufacturer 2 is:
= 0.625
The probability that the battery in a critical tool fails at 32 hours was from manufacturer 2 is 0.625