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The distribution of resistance for resistors of a certain type is known to be normal, with 10% of all resistors having a resistance exceedin
Question
The distribution of resistance for resistors of a certain type is known to be normal, with 10% of all resistors having a resistance exceeding 10.256 ohms and 5% having a resistance smaller than 9.671 ohms. What are the mean value and standard deviation of the resistance distribution? slader
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Physics
3 years
2021-08-24T23:22:41+00:00
2021-08-24T23:22:41+00:00 1 Answers
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Answers ( )
Explanation:
Formula for the given probability is as follows.
= 0.10
= 0.10
According to the normal table area we have,
P(z < 1.28) = 0.10
Hence,
………. (1)
Also, the given probability is as follows.
= 0.05
= 0.05
Hence,
……. (2)
Now, substitute the value of from equation (1) into equation (2) as follows.
= 0.2
Putting the value of into equation (2) we will find the value of as follows.
=
= 10
Thus, we can conclude that the value of is 0.2 and the value of is 10.