An ibm subcontractor was hired to make ceramic substrates, which are used to distribute power and signals to and from computer silicon chips. specifications require resistance between 1,500 ohms and 2,500 ohms, but the population has normally distributed resistances with a mean of 1,978 ohms and a standard deviation of 0.172 ohms. what percentage of the ceramic substrates will not meet the manufacture’s specifications

99.61%

Step-by-step explanation:

As per given , we have

Let x be the random variable that represents the value of resistance .

Since, the resistance is normally distributed.

Then, the z-score corresponding to x on normal curve will be :-

For x = 1.500

For x = 2.500

The probability of the ceramic substrates will not meet the manufacture’s specifications :

P(1.500<x<2500)=P(-2.78<z<3.03)=P(z<3.03)-P(z<-2.78)

=P(z<3.03)-(1-P(z<2.78))

= 0.9987772-(1-0.9972821)   [Using z-table]

=0.9960593 =99.60593 % ≈ 99.61%

Hence, the percentage of the ceramic substrates will not meet the manufacture’s specifications = 99.61%

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step-by-step explanation:

at each of the parallel lines adjacent angles are supplementary. the angles have special names identifying their positions with respect to the parallel lines and transversal. they are corresponding angles, alternate interior angles, or alternate exterior angles. an angles is congruent to its matched angle.