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TOPIC:Normal distribution.
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A noisy resistor produces a voltage Vn. It is known that the noisy voltage across the...
Problem 01 A Gaussian random voltage having a standard deviation of 2V is applied to a...
Problem 01 A Gaussian random voltage having a standard deviation of 2V is applied to a resistance of 40. a) If the mean Voltage is 5VDC., find the probability that the Voltage will be below a Threshold of 2VDC. b) If the mean Voltage is 0.5VDC., find the probability that the Voltage will be above a Threshold of 2VDC. c) If the mean Voltage is zero, what the probability that the power dissipated in the 40 resistor is between 2...
0 kS2 4.7k? Determine: a. (5 points) Calculate the voltage v across the 22 k2 resistor...
0 kS2 4.7k? Determine: a. (5 points) Calculate the voltage v across the 22 k2 resistor using node voltage analysis. b. (5 points) Calculate the current i through the 22 kl2 resistor using mesh current analysis. c. (5 points) Measure the voltage v across the 22 kS2 resistor. Measure the current i through the 22 k? resistor. Are these values consistent with your calculations in parts a and b? Explain any differences. (Remember to return your meter to voltage measurement...
A resistor and capacitor are connected in series across an ac generator. The voltage of the...
A resistor and capacitor are connected in series across an ac generator. The voltage of the generator is given by V(0) = Vocos(wt), where VO = 120V, w = 120+ rad/s, R=55092, and C = 3pF. (a) What is the magnitude of the impedance of the RC circuit (b) What is the amplitude of the current through the resistor? (c) What is the phase difference between the voltage and current? The magnitude of the impedance is 1041.3 22. The amplitude...
A resistor and capacitor are connected in series across an ac generator. The voltage of the...
A resistor and capacitor are connected in series across an ac generator. The voltage of the generator is given by V() = Vocos(wt), where Vo = 120V,w = 120x rad/s, R = 55082, and C = 7.54F. (a) What is the magnitude of the impedance of the RC circuit? (b) What is the amplitude of the current through the resistor? (e) What is the phase difference between the voltage and current? The magnitude of the impedance is The amplitude of...
Problem 5: Noisy Signal A signal generator generates a random sinusoid, X cos (2nt + Θ) whose amplitude is given by a random variable X uniformly distributed between-1 and 1, and phase Θ is an indepe...
Problem 5: Noisy Signal A signal generator generates a random sinusoid, X cos (2nt + Θ) whose amplitude is given by a random variable X uniformly distributed between-1 and 1, and phase Θ is an independent random variable which takes each of the following values π 0, π with equal prob- ability. This signal's amplitude is additively corrupted by independent noise YN(0, 0.01) The output amplitude is denoted by Z, where Z-X +Y. Assuming that an estimator of X has...
It is known that a machine produces 3% of defective parts. We choose a piece at...
It is known that a machine produces 3% of defective parts. We choose a piece at random to check if it has no defects. How is the variable X that is worth 1 distributed if the part is not defective and 0 if it is defective? What are your mean and variance?
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation o...
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value a. between 28 and 34 b. between 20 and 35 6.34 Let x be a continuous random variable that has a normal distribution with a mean of 30 and a stan- dard deviation of 2. Find the probability that x assumes a value a. between 29 and 35 b....
(3.4) This question is about a continuous probability dis- tribution known as the exponential distribution Let...
(3.4) This question is about a continuous probability dis- tribution known as the exponential distribution Let x be a continuous random variable that can take any value x 20. A quantity is said to be exponen- tially distributed if it takes values between r and r + dr with probability where A and A are constants. (a) Find the value of A that makes P() a well- defined continuous probability distribution so that Jo o P(x) dx = 1 (b)...
Using the Nodal method, determine V, i.e., the voltage across the 3-2 resistor in the circuit...
Using the Nodal method, determine V, i.e., the voltage across the 3-2 resistor in the circuit of Figure 1. (15 points) 1. (Note: This problem is required to be solved with the Nodal method.) + 3 0 V 20 5 A Figure 1
Problem 01 A Gaussian random voltage having a standard deviation of 2V is applied to a resistance of 40. a) If the mean Voltage is 5VDC., find the probability that the Voltage will be below a Threshold of 2VDC. b) If the mean Voltage is 0.5VDC., find the probability that the Voltage will be above a Threshold of 2VDC. c) If the mean Voltage is zero, what the probability that the power dissipated in the 40 resistor is between 2...
0 kS2 4.7k? Determine: a. (5 points) Calculate the voltage v across the 22 k2 resistor using node voltage analysis. b. (5 points) Calculate the current i through the 22 kl2 resistor using mesh current analysis. c. (5 points) Measure the voltage v across the 22 kS2 resistor. Measure the current i through the 22 k? resistor. Are these values consistent with your calculations in parts a and b? Explain any differences. (Remember to return your meter to voltage measurement...
A resistor and capacitor are connected in series across an ac generator. The voltage of the generator is given by V(0) = Vocos(wt), where VO = 120V, w = 120+ rad/s, R=55092, and C = 3pF. (a) What is the magnitude of the impedance of the RC circuit (b) What is the amplitude of the current through the resistor? (c) What is the phase difference between the voltage and current? The magnitude of the impedance is 1041.3 22. The amplitude...
A resistor and capacitor are connected in series across an ac generator. The voltage of the generator is given by V() = Vocos(wt), where Vo = 120V,w = 120x rad/s, R = 55082, and C = 7.54F. (a) What is the magnitude of the impedance of the RC circuit? (b) What is the amplitude of the current through the resistor? (e) What is the phase difference between the voltage and current? The magnitude of the impedance is The amplitude of...
Problem 5: Noisy Signal A signal generator generates a random sinusoid, X cos (2nt + Θ) whose amplitude is given by a random variable X uniformly distributed between-1 and 1, and phase Θ is an independent random variable which takes each of the following values π 0, π with equal prob- ability. This signal's amplitude is additively corrupted by independent noise YN(0, 0.01) The output amplitude is denoted by Z, where Z-X +Y. Assuming that an estimator of X has...
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value a. between 28 and 34 b. between 20 and 35 6.34 Let x be a continuous random variable that has a normal distribution with a mean of 30 and a stan- dard deviation of 2. Find the probability that x assumes a value a. between 29 and 35 b....
(3.4) This question is about a continuous probability dis- tribution known as the exponential distribution Let x be a continuous random variable that can take any value x 20. A quantity is said to be exponen- tially distributed if it takes values between r and r + dr with probability where A and A are constants. (a) Find the value of A that makes P() a well- defined continuous probability distribution so that Jo o P(x) dx = 1 (b)...
Using the Nodal method, determine V, i.e., the voltage across the 3-2 resistor in the circuit of Figure 1. (15 points) 1. (Note: This problem is required to be solved with the Nodal method.) + 3 0 V 20 5 A Figure 1
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