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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.