1. Plot the probability of false alarm given threshold voltage, Vt, from 0.1 to 100 mV given a noise voltage variance of 0.2 mV.
2. Approximate the probability of detection for the system in problem 1 given the following target voltages:
a. .1
b. .2
c. .8
d. 5
e. 50
1. Plot the probability of false alarm given threshold voltage, Vt, from 0.1 to 100 mV...
Problem 1. Plot the probability of false alarm given threshold voltage, Vt, from 0.1 to 100 mV given a noise voltage variance of 0.2 mV. Problem 3. Given the statistics in problem 1, find the threshold necessary to set the probability of false alarm equal to 10-4. Problem 4. Find the signal to noise ratio for a target that results in probability of detection equal to 0.9 (90%) given the system in problem 1 and the threshold found in problem...
Calculate the probability of false alarm and the threshold voltage 0.59 and noise variance 1.00 below.
Problem 2) A pn junction diode has parameters IS = 1011 A, VT =
25 mV, and = 1. Find the diode
voltage for the following values of diode current: 1 A, 10 A, 100
A, 1 mA, 10 mA, and 1 A.
Plot these values on a semilog graph where the vertical axis is
logarithmic in iD and the horizontal
axis is linear in vD. Note: A pn junction diode obeys the
equation:
Problem 2) A pn junction...
Probability Distribution of X Value -2 -1 0 1 Probability 0.3 0.2 0.1 0.4 Given the above discrete distribution, derive an expression for MGF of X and compute E(X) and Var(X)
6. The distribution law of random variable X is given -0.4 -0.2 0 0.1 0.4 0.3 0.2 0.6 Xi Pi Find the variance of random variable X. 7. Let X be a continuous random variable whose probability density function is: f(x)=Ice + ax, ifXE (0,1) if x ¢ (0:1) 0, Find 1) the coefficient a; 2) P(O.5 X<0.7); 3) P(X>3). Part 3. Statistics A sample of measurements is given Y 8 4 2 2 0 8. Compute the coefficient of...
1. Which of the following is a probability mass function for some probability distribution p with domain {1,2,3,4}? P(1)=0.1,P(2)=0.2,P(3)=0.3,P(4)=0.4 P(1)=0.1,P(2)=0.1,P(3)=0.3,P(4)=0.4 P(1)=0.2,P(2)=0.4,P(3)=0.3,P(4)=0.4 P(1)=-0.5,P(2)=0.8,P(3)=0.5,P(4)=0.2 2. Let X be the random variable where X is the number of heads after flipping a fair coin 50 times. What is the mean of X? 3. Suppose that one flips a fair coin 6 times. What is the probability of getting at most 2 heads? 4. Which of the following is a discrete probability distribution and...
The six-bus system shown in Figure 1 will be simulated using MATLAB. Transmission line data and bus data are given in Tables 1 and 2 respectively. The transmission line data are calculated on 100 MVA base and 230 (line-to-line) kV base for generator. Tasks: 1. Determine the network admittance matrix Y 2. Find the load flow solution using Gauss-Seidel/Newton Raphson method until first iteration by manual calculation. Use Maltab software to solve power flow problem using Gauss-Seidel method. Find the...
1. The current through a 0.1-H coil is provided. Find the sinusoidal expression for the voltage across the coil. Sketch the v and i curves. a. i = 10 sin 377t b. i = 7 sin(377t - 70°) 2. The voltage across a 1-micro F capacitor is provided below. What is the sinusoidal expression for the current? Sketch the v and i curves. v = 30 sin 400t 3. For the following pairs of voltages and currents, determine whether the...
Please write the whole steps with explanation.
Thank you.
Exercises 125 Marks] The Probability Mass Function, f), for the random variable X-0, 4, 6, 8 representing the number of daily computer's failures is given as follows: 0 x) 0.5 0.2 0.1 1) (5 points) What is the value of cf(2)? (Justify your answer) 2) (5 points) Calculate the expected value of X, E X 3) 5 points) Calculate the variance of X, V[X] 4) (5 points) Calculate the expected value...
3. The probability distribution of the discrete random variable X is f(x) = 2 x 1 8 x 7 8 2−x , x = 0, 1, 2. Find the mean of X. 4. The random variable X, representing the number of errors per 100 lines of software code, has the following probability distribution: x 1 2 3 5 6 f(x) 0.03 0.37 0.2 0.25 0.15 (a) Find E(X). (b) Find E(X2 ). 5. Use the distribution from Problem 4. (a)...