FULL ANSWER PLEASE a.Surface mount type aluminium electrolytic capacitors have high reliability, long life, lowimpedance, and high ripple current and applied for in-vehicle equipment. A 50 V, 100 µFcapacitor with a case size of 8.0 mm diameter and 10.2 mm length, has a mean enduranceof 2000 hours.i.Based on conducted product test, the obtained endurance standard deviationof the manufactured capacitors is 50 hours. Determine the highest probabilitythat the manufactured capacitor can only endure usage until 1800 hours. It isknown that the distribution is symmetric about the mean.Production Line 1, x and Production Line 2, y are the two different capacitorproduction lines and, therefore, independent. Therefore, we may consider thatthey have independent random variables. For these production lines havingjoint probability distribution as shown in Table Q2a.ii, find E(3X – 2Y) andE (XY).Table Q2a.iif(x. y)410.100.15y30.300.200.100.15iii.The variance of Production Line 1, x and Production Line 2, y is 6 and 4,respectively.CalculatethevarianceoftherandomvariableZ = -2X + 4Y – 3.

Hello! As you have posted 2 different questions, we are answering the first question (i). In case…

Surface mount type aluminium electrolytic capacitors have high reliability, long life, low impedance, and high ripple current and applied for in-vehicle equipment. A 50 V, 100 µF capacitor with a case size of 8.0 mm diameter and 10.2 mm length, has a mean endurance of 2000 hours.

Surface mount type aluminium electrolytic capacitors have high reliability, long life, low impedance, and high ripple current and applied for in-vehicle equipment. A 50 V, 100 µF capacitor with a case size of 8.0 mm diameter and 10.2 mm length, has a mean endurance of 2000 hours.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

FULL ANSWER PLEASE

a.
Surface mount type aluminium electrolytic capacitors have high reliability, long life, low
impedance, and high ripple current and applied for in-vehicle equipment. A 50 V, 100 µF
capacitor with a case size of 8.0 mm diameter and 10.2 mm length, has a mean endurance
of 2000 hours.
i.
Based on conducted product test, the obtained endurance standard deviation
of the manufactured capacitors is 50 hours. Determine the highest probability
that the manufactured capacitor can only endure usage until 1800 hours. It is
known that the distribution is symmetric about the mean.
Production Line 1, x and Production Line 2, y are the two different capacitor
production lines and, therefore, independent. Therefore, we may consider that
they have independent random variables. For these production lines having
joint probability distribution as shown in Table Q2a.ii, find E(3X – 2Y) and
E (XY).
Table Q2a.ii
f(x. y)
4
1
0.10
0.15
y
3
0.30
0.20
0.10
0.15
iii.
The variance of Production Line 1, x and Production Line 2, y is 6 and 4,
respectively.
Calculate
the
variance
of
the
random
variable
Z = -2X + 4Y – 3.

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