Obtain time-domain response for the following transfer function. Y(s)= 2s/(s+2 )(s+1)2 full step by step explain currect.

Derive transfer function using Laplace Analysis Method.The corner frequency is 1 kHz of filter.

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Part A – Fill in the blanks Shape of the distribution is sharper peak then bell shaped if value of kurtosis is _____________________  If the value of the skewness is negative then shape of the distribution is _____________________  Normal Standard distribution is when μ = ________ , σ =___________ P(Z > - 2.37) = _____________ P( B / A ) = _____________ If three balls are selected from a box of nine balls with replacement without order then If 7 coins are tossed, then In normal distribution 65% data lies between ___________ to _____________ Changing the value of ____________ shifts the normal distributin left or right.

The time to deliver packaged containers by a logistics company is found fromsamples of size 4. The mean and standard deviation of delivery times is estimated tobe 140 hours and 6 hours, respectively.(a) Find the 2 sigma and 3 sigma control limits for the average delivery time.(b) Explain a type I and type II error specifically in this context.(c) If the mean delivery time shifts to 145 hours, what is the probability of notdetecting this by the second sample after the shift?(d) What is the ARL? Explain

5. Construct the frequency distribution for the data. For calculating the cell width assume 7 cells, the lower limit of 25.35 inches and upper limit of 25.42 inches. Round your answers for interval boundaries to three decimal places and round your answers for frequencies to the nearest whole number. Cell From To (inclusive) Frequency 09 25.360 X 1 7 2 3 456 10 a 8 9 10 10 K

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The process capability index (Cp) may mislead if: (I)  the process is not stable. (II)  the process output is not normally distributed. (III) the process is not centered.

The error measurement that gives weight based on the relative error is: O Bias Residual MSE MAD O MAPE