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Given the points M (0.1, -0.2, -0.1), Ñ (-0.2, 0.1, 0.3), and (0.4, 0, 0.1) in...
Q4 / Given the points M (0.1, -0.2, -0.1), Ñ (-0.2, 0.1, 0.3), and Ž (0.4,...
Q4 / Given the points M (0.1, -0.2, -0.1), Ñ (-0.2, 0.1, 0.3), and Ž (0.4, 0, 0.1) in Cartesian coordinate. Find: 1. The Vector RMN 2. The dot product Rmn. RMP 3. The angle between Rmn. RMP 4. Spherical coordinate for vector M
Q4 / Given the points M (0.1, -0.2, -0.1), Ñ (-0.2, 0.1, 0.3), and Ž (0.4,...
Q4 / Given the points M (0.1, -0.2, -0.1), Ñ (-0.2, 0.1, 0.3), and Ž (0.4, 0, 0.1) in Cartesian coordinate. Find: 1. The Vector RMN 2. The dot product Rmn. RMP 3. The angle between Rmn. RMP 4. Spherical coordinate for vector M
6. The distribution law of random variable X is given -0.4 -0.2 0 0.1 0.4 0.3...
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...
6. The distribution law of random variable X is given -0.4 |-0.2 |0 0.1 0.4 0.3...
6. The distribution law of random variable X is given -0.4 |-0.2 |0 0.1 0.4 0.3 0 0.6 0.2 Pi Find the variance of random variable X. nrohahility density function is:
(20 points) Consider the following joint distribution of X and Y ㄨㄧㄚ 0 0.1 0.2 1 0.3 0.4 (a) Find the marginal distributions of X and Y. (i.e., Px(x) and Py()) (b) Find the conditional distributio...
(20 points) Consider the following joint distribution of X and Y ㄨㄧㄚ 0 0.1 0.2 1 0.3 0.4 (a) Find the marginal distributions of X and Y. (i.e., Px(x) and Py()) (b) Find the conditional distribution of X given Y-0. (i.e., Pxjy (xY-0)) (c) Compute EXIY-01 and Var(X)Y = 0). (d) Find the covariance between X and Y. (i.e., Cov(X, Y)) (e) Are X and Y independent? Justify your answer.
(20 points) Consider the following joint distribution of X and...
ABC Amplitudes Time t Point A Point B Point C 0.3 m 0 0 s 0.2...
ABC Amplitudes Time t Point A Point B Point C 0.3 m 0 0 s 0.2 s 0.4 s 0.2 m 0 0 0 3. The figure above shows two wave pulses on a spring traveling toward each other at time t0. At t0.2s the pulses completely overlap A student measures the amplitudes at points A, B and C at the three times shown in the table. Which of the following is the most likely set of values that the...
II. Consider a continuous time signal x(t), containing two windowed sinusoids 0.1 0.2 0.3 0.4 0.5...
II. Consider a continuous time signal x(t), containing two windowed sinusoids 0.1 0.2 0.3 0.4 0.5 0.6 The Fourier transform of the signal is as follows: 15 10 5 -800-_-400 h 200 400 600 The signal x(t) is the input of an LTI filter with frequency response lH(c) shown below 0.5 -&- 400︺-200 0 200 400 600 Shown below are four possible outputs of LTI filter when x(t) is the input. Please select the correct output (a) ya(t) (b) y(t)...
Use the following convention table for R-square. From 0.0 to 0.2 Poor From 0.2 to 0.4 Decent From 0.4 to 0.6 Good From 0.6 to 0.85 Very Good From 0.85 to 1.0 Excellent Upload the ManBody...
Use the following convention table for R-square. From 0.0 to 0.2 Poor From 0.2 to 0.4 Decent From 0.4 to 0.6 Good From 0.6 to 0.85 Very Good From 0.85 to 1.0 Excellent Upload the ManBody data. Check which of the following four categories (BODYFAT, WEIGHT, HEIGHT, and KNEE) is the most correlated to AGE category. Make a scattered plot chart with X representing the most correlated category and Y representing the AGE, plot the line and compute the R-square....
-1,2,3,4,5,63 and transition matrix Consider a discrete time Markov chain with state space S 0.8 0 0 0.2 0 0 0 0.5 00 0.50 0 0 0.3 0.4 0.2 0.1 0.1 0 0 0.9 0 0 0 0.2 0 0 0.8 0 0.1 0 0.4 0 0 0.5 (a) Dr...
-1,2,3,4,5,63 and transition matrix Consider a discrete time Markov chain with state space S 0.8 0 0 0.2 0 0 0 0.5 00 0.50 0 0 0.3 0.4 0.2 0.1 0.1 0 0 0.9 0 0 0 0.2 0 0 0.8 0 0.1 0 0.4 0 0 0.5 (a) Draw the transition probability graph associated to this Markov chain. (b) It is known that 1 is a recurrent state. Identify all other recurrent states. (c) How many recurrence classes are...
Find approximate values of the solution of the given initial value problem at T=0.1, 0.2, 0.3,...
Find approximate values of the solution of the given initial value problem at T=0.1, 0.2, 0.3, and 0.4 using Euler method with h=0.1 y'= 0.5-t+2y ; y(o)=1
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...
6. The distribution law of random variable X is given -0.4 |-0.2 |0 0.1 0.4 0.3 0 0.6 0.2 Pi Find the variance of random variable X. nrohahility density function is:
(20 points) Consider the following joint distribution of X and Y ㄨㄧㄚ 0 0.1 0.2 1 0.3 0.4 (a) Find the marginal distributions of X and Y. (i.e., Px(x) and Py()) (b) Find the conditional distribution of X given Y-0. (i.e., Pxjy (xY-0)) (c) Compute EXIY-01 and Var(X)Y = 0). (d) Find the covariance between X and Y. (i.e., Cov(X, Y)) (e) Are X and Y independent? Justify your answer.
(20 points) Consider the following joint distribution of X and...
ABC Amplitudes Time t Point A Point B Point C 0.3 m 0 0 s 0.2 s 0.4 s 0.2 m 0 0 0 3. The figure above shows two wave pulses on a spring traveling toward each other at time t0. At t0.2s the pulses completely overlap A student measures the amplitudes at points A, B and C at the three times shown in the table. Which of the following is the most likely set of values that the...
II. Consider a continuous time signal x(t), containing two windowed sinusoids 0.1 0.2 0.3 0.4 0.5 0.6 The Fourier transform of the signal is as follows: 15 10 5 -800-_-400 h 200 400 600 The signal x(t) is the input of an LTI filter with frequency response lH(c) shown below 0.5 -&- 400︺-200 0 200 400 600 Shown below are four possible outputs of LTI filter when x(t) is the input. Please select the correct output (a) ya(t) (b) y(t)...
-1,2,3,4,5,63 and transition matrix Consider a discrete time Markov chain with state space S 0.8 0 0 0.2 0 0 0 0.5 00 0.50 0 0 0.3 0.4 0.2 0.1 0.1 0 0 0.9 0 0 0 0.2 0 0 0.8 0 0.1 0 0.4 0 0 0.5 (a) Draw the transition probability graph associated to this Markov chain. (b) It is known that 1 is a recurrent state. Identify all other recurrent states. (c) How many recurrence classes are...
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