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2. Find the MLE for the discrete RV given in problem 5 of HW2 (using the...
2. Find the MLE for the discrete RV given in problem 5 of HW2 (using the...
2. Find the MLE for the discrete RV given in problem 5 of HW2 (using the particular data indicated in that problem). Then, explain why your answer for the MLE cannot be surprising (like it was on HW2). You should also draw a picture of the likelihood and log-likelihood (on the same axes) in Desmos and copy your Desmos inputs and picture into your solutions. Thinlk carefully about the domain of this graph.
5. Suppose a discrete RV is modeled by px (z;r) =く1 z-2 x= Suppose you observe...
5. Suppose a discrete RV is modeled by px (z;r) =く1 z-2 x= Suppose you observe the sample xi-2, r2 T. Comment on your (surprising) answer. 2, r3-1, r4-3 and r5-1. Find the MME for
Problem 5: a) (2 Points) Using the two-phase simplex procedure solve Minimize 3X1 + X2 +...
Problem 5: a) (2 Points) Using the two-phase simplex procedure solve Minimize 3X1 + X2 + 3X3-X4 Subject to 1 2.x2 - ^3 r4 0 2x1-2x2 + 3x3 + 3x4 9 T1, x2, x3, x4 2 0. b) (2 Points) Using the two-phase simplex procedure solve Minimize Subject to x1+6x2-7x3+x4+5x5 5x1-4x2 + 132:3-2X4 + X5-20 X5 〉 0.
Let > 0 and let X1, X2, ..., Xn be a random sample from the distribution with the probability density function f(x;...
Let > 0 and let X1, X2, ..., Xn be a random sample from the distribution with the probability density function f(x; 1) = 212x3e-dız?, x > 0. a. Find E(X), where k > -4. Enter a formula below. Use * for multiplication, / for divison, ^ for power, lam for \, Gamma for the function, and pi for the mathematical constant 11. For example, lam^k*Gamma(k/2)/pi means ik r(k/2)/ I. Hint 1: Consider u = 1x2 or u = x2....
Let > 0 and let X1, X2, ..., Xn be a random sample from the distribution with the probability density function f(x;...
Let > 0 and let X1, X2, ..., Xn be a random sample from the distribution with the probability density function f(x; 1) = 212x3 e-tz, x > 0. a. Find E(XK), where k > -4. Enter a formula below. Use * for multiplication, / for divison, ^ for power, lam for 1, Gamma for the function, and pi for the mathematical constant i. For example, lam^k*Gamma(k/2)/pi means ik r(k/2)/n. Hint 1: Consider u = 1x2 or u = x2....
Find the derivative of the function. y = (x3 + 2)2(x5 + 434 Find an equation...
Find the derivative of the function. y = (x3 + 2)2(x5 + 434 Find an equation of the tangent line to the given curve at the specified point. x2 - 1 x² + x + - 1 (1,0) Suppose the weekly cost of producing a barrels of oil is modeled by the cubic function Ca)= -124 + 20 Determine the interval of production in which this function makes sense as a model. That is, determine the interval of production in...
nsider the following expression 8.50x10-5-x(0.100 +x)2 We can solve for x using a technique called successive...
nsider the following expression 8.50x10-5-x(0.100 +x)2 We can solve for x using a technique called successive approximations. Step 1: If we assume that x is very small compared to 0.100 (such that 0.100 + x 0.100) then our first approximation of x (let's call it x) can be calculated as 8.50 × 10-5-XI (0.100) 2 Number Express all answers to three or more significant figures Step 2: Now, take your first approximation of x and plug it into the full...
You have five coins in your pocket. You know a priori that one coin gives heads with probability 0.4, and the other four coins give heads with probability 0.7 You pull out one of the five coins at ra...
You have five coins in your pocket. You know a priori that one coin gives heads with probability 0.4, and the other four coins give heads with probability 0.7 You pull out one of the five coins at random from your pocket (each coin has probability 릊 of being pulled out), and you want to find out which of the two types of coin it is. To that end, you flip the coin 6 times and record the results X1...
Solve 01 Knapsack problem using 1) Backtracking 2) Breath first search with branch and bound 3)...
Solve 01 Knapsack problem using 1) Backtracking 2) Breath first
search with branch and bound 3) Best fit search with branch
bound.
Find out maxprofit and solution vector X=(x1,x2,x3,x4,x5).
You need to show how you solve it using pruned state space
tree.
plw $20* $30» $35.» $12* $3. pi/wi- 10» 60 5» 4° 30 2» 5* 2» 30 4° 30 W=12(Knapsack capacity)-
Problem 4.(30 pts) Given the analog signal x(t) cos(2 cos(3t)+2 sin(4mt) A.(10 pts) Find the Nyquist...
Problem 4.(30 pts) Given the analog signal x(t) cos(2 cos(3t)+2 sin(4mt) A.(10 pts) Find the Nyquist frequency (sampling frequency) which guarantees That x() can be recovered from it's sampled version xIn] with no aliasing. B.(10 pts) If the sampling period of Ts 0.4 see is used identify all discrete frequencies Of the signal x(t), also indicate if this sampling period is adequate to recover x(t) from xn] C.(10 pts) Suppose signal x(t) is modulated by signal e(t) = cos(2000mt) what...
2. Find the MLE for the discrete RV given in problem 5 of HW2 (using the particular data indicated in that problem). Then, explain why your answer for the MLE cannot be surprising (like it was on HW2). You should also draw a picture of the likelihood and log-likelihood (on the same axes) in Desmos and copy your Desmos inputs and picture into your solutions. Thinlk carefully about the domain of this graph.
5. Suppose a discrete RV is modeled by px (z;r) =く1 z-2 x= Suppose you observe the sample xi-2, r2 T. Comment on your (surprising) answer. 2, r3-1, r4-3 and r5-1. Find the MME for
Problem 5: a) (2 Points) Using the two-phase simplex procedure solve Minimize 3X1 + X2 + 3X3-X4 Subject to 1 2.x2 - ^3 r4 0 2x1-2x2 + 3x3 + 3x4 9 T1, x2, x3, x4 2 0. b) (2 Points) Using the two-phase simplex procedure solve Minimize Subject to x1+6x2-7x3+x4+5x5 5x1-4x2 + 132:3-2X4 + X5-20 X5 〉 0.
Let > 0 and let X1, X2, ..., Xn be a random sample from the distribution with the probability density function f(x; 1) = 212x3e-dız?, x > 0. a. Find E(X), where k > -4. Enter a formula below. Use * for multiplication, / for divison, ^ for power, lam for \, Gamma for the function, and pi for the mathematical constant 11. For example, lam^k*Gamma(k/2)/pi means ik r(k/2)/ I. Hint 1: Consider u = 1x2 or u = x2....
Let > 0 and let X1, X2, ..., Xn be a random sample from the distribution with the probability density function f(x; 1) = 212x3 e-tz, x > 0. a. Find E(XK), where k > -4. Enter a formula below. Use * for multiplication, / for divison, ^ for power, lam for 1, Gamma for the function, and pi for the mathematical constant i. For example, lam^k*Gamma(k/2)/pi means ik r(k/2)/n. Hint 1: Consider u = 1x2 or u = x2....
Find the derivative of the function. y = (x3 + 2)2(x5 + 434 Find an equation of the tangent line to the given curve at the specified point. x2 - 1 x² + x + - 1 (1,0) Suppose the weekly cost of producing a barrels of oil is modeled by the cubic function Ca)= -124 + 20 Determine the interval of production in which this function makes sense as a model. That is, determine the interval of production in...
nsider the following expression 8.50x10-5-x(0.100 +x)2 We can solve for x using a technique called successive approximations. Step 1: If we assume that x is very small compared to 0.100 (such that 0.100 + x 0.100) then our first approximation of x (let's call it x) can be calculated as 8.50 × 10-5-XI (0.100) 2 Number Express all answers to three or more significant figures Step 2: Now, take your first approximation of x and plug it into the full...
You have five coins in your pocket. You know a priori that one coin gives heads with probability 0.4, and the other four coins give heads with probability 0.7 You pull out one of the five coins at random from your pocket (each coin has probability 릊 of being pulled out), and you want to find out which of the two types of coin it is. To that end, you flip the coin 6 times and record the results X1...
Solve 01 Knapsack problem using 1) Backtracking 2) Breath first
search with branch and bound 3) Best fit search with branch
bound.
Find out maxprofit and solution vector X=(x1,x2,x3,x4,x5).
You need to show how you solve it using pruned state space
tree.
plw $20* $30» $35.» $12* $3. pi/wi- 10» 60 5» 4° 30 2» 5* 2» 30 4° 30 W=12(Knapsack capacity)-
Problem 4.(30 pts) Given the analog signal x(t) cos(2 cos(3t)+2 sin(4mt) A.(10 pts) Find the Nyquist frequency (sampling frequency) which guarantees That x() can be recovered from it's sampled version xIn] with no aliasing. B.(10 pts) If the sampling period of Ts 0.4 see is used identify all discrete frequencies Of the signal x(t), also indicate if this sampling period is adequate to recover x(t) from xn] C.(10 pts) Suppose signal x(t) is modulated by signal e(t) = cos(2000mt) what...
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