Solve for me branch b Capacitance values betweenClass Frequency(µF)94-95.9796-97.91998-99.935100-101.931102-103.923104-105.95b) The company automatically manufacture its control boards. The quality inspector hasdetermined that in each package, 89% of the control boards are within the correct tolerancevalues with respect to their functionality, the remainder were out of tolerance. If a randomsample of 6 boards are drawn from the package determine the probabilities that:i)ii)ii)3 of the sample boards are out of toleranceMore than 3 of the sample boards are out of toleranceLess than three of the sample boards are out of tolerance.c)A batch of 2450 transformers from the production line have a mean output voltage of 215.3 V andthe Standard deviation of the output voltage is 2.8 V. If the voltages of the transformers in the boxare assumed to be normally distributed, determine the following:i)ii)The number of Transformers with output voltages greater than 216.9 V.The number of Transformers with output voltages less than 213.1 V,The number of Transformers with output voltages between 214 V and 216 V.For this problem you should use the table of z-values shown in Figure 1.All the calculations must be clearly explained with suitable diagrams whereappropriate to aid understanding to a non-technical audience.d)A batch of transformers produced by a different production line in a factory have a mean outputvoltages of 225 V and a standard deviation of 2.4 V. The production manager suspects that theProduction line is producing too many out of voltage components and should be stopped andserviced.If the quality inspector takes a random sample of 35 transformers from the batch and finds that themean output voltage of the sample is 225.6 V. Using a level of confidence of 0.05, determine Task 6a) The company have checked the capacitances of a batch 120 of 100 µF capacitors and givenyou the results as shown in the group frequency table 1 below.Use that data given to calculate the mean and standard deviation of the data.You should provide clear explanation of the calculations used and a suitably chosen graphicalrepresentation of your results suitable for a non-technical audience.You may use a spreadsheet for these calculations, but you must provide clearevidence of the formulas used in each cell and submit the spreadsheet file with yourreport.

(b) Given n=6, p=0.89 i Probability that 3 of the sample boards are out of tolerance…

b) The company automatically manufacture its control boards. The quality inspector has determined that in each package, 89% of the control boards are within the correct tolerance values with respect to their functionality, the remainder were out of tolerance. If a random sample of 6 boards are drawn from the package determine the probabilities that: i) ii) iii) 3 of the sample boards are out of tolerance More than 3 of the sample boards are out of tolerance Less than three of the sample boards are out of tolerance.

b) The company automatically manufacture its control boards. The quality inspector has determined that in each package, 89% of the control boards are within the correct tolerance values with respect to their functionality, the remainder were out of tolerance. If a random sample of 6 boards are drawn from the package determine the probabilities that: i) ii) iii) 3 of the sample boards are out of tolerance More than 3 of the sample boards are out of tolerance Less than three of the sample boards are out of tolerance.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Solve for me branch b

Capacitance values between
Class Frequency
(µF)
94-95.9
7
96-97.9
19
98-99.9
35
100-101.9
31
102-103.9
23
104-105.9
5
b) The company automatically manufacture its control boards. The quality inspector has
determined that in each package, 89% of the control boards are within the correct tolerance
values with respect to their functionality, the remainder were out of tolerance. If a random
sample of 6 boards are drawn from the package determine the probabilities that:
i)
ii)
ii)
3 of the sample boards are out of tolerance
More than 3 of the sample boards are out of tolerance
Less than three of the sample boards are out of tolerance.
c)
A batch of 2450 transformers from the production line have a mean output voltage of 215.3 V and
the Standard deviation of the output voltage is 2.8 V. If the voltages of the transformers in the box
are assumed to be normally distributed, determine the following:
i)
ii)
The number of Transformers with output voltages greater than 216.9 V.
The number of Transformers with output voltages less than 213.1 V,
The number of Transformers with output voltages between 214 V and 216 V.
For this problem you should use the table of z-values shown in Figure 1.
All the calculations must be clearly explained with suitable diagrams where
appropriate to aid understanding to a non-technical audience.
d)
A batch of transformers produced by a different production line in a factory have a mean output
voltages of 225 V and a standard deviation of 2.4 V. The production manager suspects that the
Production line is producing too many out of voltage components and should be stopped and
serviced.
If the quality inspector takes a random sample of 35 transformers from the batch and finds that the
mean output voltage of the sample is 225.6 V. Using a level of confidence of 0.05, determine

Task 6
a) The company have checked the capacitances of a batch 120 of 100 µF capacitors and given
you the results as shown in the group frequency table 1 below.
Use that data given to calculate the mean and standard deviation of the data.
You should provide clear explanation of the calculations used and a suitably chosen graphical
representation of your results suitable for a non-technical audience.
You may use a spreadsheet for these calculations, but you must provide clear
evidence of the formulas used in each cell and submit the spreadsheet file with your
report.

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