![Use the following information for problems 9 through 12 Let X be the number of items failed during a certain life test, and its pmf is given by p(x) = c(x2 + 1)3, where x = 0, 1, 2. 9. Evaluate c. [A] 1/125 [B] 1/126 [C] 1/133 [D] 1/134 E] None of the above. 10. Calculate P(O <X S 11X < 2). [B] 8/9 [C] 1 [D] 8/133 [E] None of the above. 11. Calculate ELX] [A] 0.024 [B] 0.044 [C] 0.064 [D] 0.084 [E] None of the above. 12. Calculate Var(X). [A] 0.024 [B) 0.044 [C] 0.064 ID] 0.084 [E] None of the above.](http://img.homeworklib.com/questions/71f61a30-5976-11eb-87ed-998d443d9d23.png?x-oss-process=image/resize,w_560)
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Use the following information for problems 9 through 12 Let X be the number of items...
Let X be a discrete random variable with the following PMF 6 for k € {-10,-9,...
Let X be a discrete random variable with the following PMF 6 for k € {-10,-9, -, -1,0, 1, ... , 9, 10} Px(k) = otherwise The random variable Y = g(X) is defined as Y = g(x) = {x if X < 0 if 0 < X <5 otherwise Calculate E[X], E[Y], var(X), and var(Y) for the two variables X and Y
1. Let X ~ Bin(n = 12, p = 0.4) and Y Bin(n = 12, p...
1. Let X ~ Bin(n = 12, p = 0.4) and Y Bin(n = 12, p = 0.6), and suppose that X and Y are independent. Answer the following True/False questions. (a) E[X] + E[Y] = 12. (b) Var(X) = Var(Y). (c) P(X<3) + P(Y < 8) = 1. (d) P(X < 6) + P(Y < 6) = 1. (e) Cov(X,Y) = 0.
Let X be a discrete random variable with PMF
Let X be a discrete random variable with PMF(a) Find P(X ≤ 9). (b) Find E[X] and Var(X). (c) Find MX(t), where t < ln 3.
12) Random variables X & Y have joint pmf given in the table. Y = 1...
12) Random variables X & Y have joint pmf given in the table. Y = 1 Y = 2 Y= 3 X = 1 0.3 0.1 0 X = 2 0.1 0.3 0.2 In problem (12), determine Var(X | Y = 3) a) 2.4 b) 2.0 c) 1.4 d) .8 e) 0
1002 Figure 2: For Questions 8, 9, 10 For the circuit shown in Figure 2, Pi...
1002 Figure 2: For Questions 8, 9, 10 For the circuit shown in Figure 2, Pi = 80 W with pf = 0.8 lagging, |S2| = 60 VA with pf = 0.7 leading, S3 = 40 VA with pf = 0.6 leading, I = 0.4237ºArms). Note that subscripts specify the load, so P1 is the real power for Load 1, which has impedance 21. 8. Determine P. (a) 57 W (b) 42 W (c) 36.63 W (d) 84.14 W (e)...
Let X be the number of material anomalies occurring in a particular region of an aircraft...
Let X be the number of material anomalies occurring in a particular region of an aircraft gas-turbine disk. A researcher proposes a Poisson distribution for X. Suppose that i = 6. The Poisson probability mass function is: 1 - 1 P(X = r) = r! for x = 0,1,2,... Use the pmf to calculate probabilities. Verify these values in R using dpois(x,lambda). Compute the following probabilities: (Round your answers to three decimal places.) (a) P(X = 5) = (b) PCX...
Use the following table to answer questions 7 through 12 The table shows the peices and...
Use the following table to answer questions 7 through 12 The table shows the peices and the quantities consumed in Carnivore Country Suppose the base year is 2008 Also, suppose that 2008 is the year the typical consumption busket as determined, so the quantities consuomedin 2008 are the only quaretities needed to celculate the CP! in eck year Year Price of Beel Quseity of Beet Price of Pork Quantity of Park 2008 2009 2010 2.00 2.50 2.75 100 90 105...
Let (X.) be a Marko chain with the state space (1.2,3) and transition proba- bility matrix...
Let (X.) be a Marko chain with the state space (1.2,3) and transition proba- bility matrix 0 4 6 P 25 75 0 4 0 6 Let the initial distribution be q(0) [1(0), q2(0), s(0) [0.4, 0.2, 0.4] (a) Find ELX. (b) Calculate PlX,-2, X,-2, X,-11X,-1]. (c) To what matrix will the n-step transition probability matrix converge when n is very large? Your solution should be accurate to two decimal places.
Question 16 Given the following function, calculate f(9). xx<-8 -2 X=-8 6x X-8 a) 54 b)...
Question 16 Given the following function, calculate f(9). xx<-8 -2 X=-8 6x X-8 a) 54 b) 09 c) 81 d) O-48 e) -8 1) None of the above
Problems 21- 26 are based on the following information: A paper-cutting machine is operating in a...
Problems 21- 26 are based on the following information: A paper-cutting machine is operating in a process that is producing paper of a standard length (11.5 inches). As the paper is being cut by the machine, periodically subgroups of five pieces are selected. The results for a set of 20 consecutive subgroups were as follows: Subgroup Range Ri Subgroup Mean X. Subgroup Subgroup Range Ri Subgroup Mean X Subgroup Number Number 0.061 11.494 11 0.043 11.523 1 0.054 11.506 0.049...
Let X be a discrete random variable with the following PMF 6 for k € {-10,-9, -, -1,0, 1, ... , 9, 10} Px(k) = otherwise The random variable Y = g(X) is defined as Y = g(x) = {x if X < 0 if 0 < X <5 otherwise Calculate E[X], E[Y], var(X), and var(Y) for the two variables X and Y
1. Let X ~ Bin(n = 12, p = 0.4) and Y Bin(n = 12, p = 0.6), and suppose that X and Y are independent. Answer the following True/False questions. (a) E[X] + E[Y] = 12. (b) Var(X) = Var(Y). (c) P(X<3) + P(Y < 8) = 1. (d) P(X < 6) + P(Y < 6) = 1. (e) Cov(X,Y) = 0.
1002 Figure 2: For Questions 8, 9, 10 For the circuit shown in Figure 2, Pi = 80 W with pf = 0.8 lagging, |S2| = 60 VA with pf = 0.7 leading, S3 = 40 VA with pf = 0.6 leading, I = 0.4237ºArms). Note that subscripts specify the load, so P1 is the real power for Load 1, which has impedance 21. 8. Determine P. (a) 57 W (b) 42 W (c) 36.63 W (d) 84.14 W (e)...
Let X be the number of material anomalies occurring in a particular region of an aircraft gas-turbine disk. A researcher proposes a Poisson distribution for X. Suppose that i = 6. The Poisson probability mass function is: 1 - 1 P(X = r) = r! for x = 0,1,2,... Use the pmf to calculate probabilities. Verify these values in R using dpois(x,lambda). Compute the following probabilities: (Round your answers to three decimal places.) (a) P(X = 5) = (b) PCX...
Use the following table to answer questions 7 through 12 The table shows the peices and the quantities consumed in Carnivore Country Suppose the base year is 2008 Also, suppose that 2008 is the year the typical consumption busket as determined, so the quantities consuomedin 2008 are the only quaretities needed to celculate the CP! in eck year Year Price of Beel Quseity of Beet Price of Pork Quantity of Park 2008 2009 2010 2.00 2.50 2.75 100 90 105...
Let (X.) be a Marko chain with the state space (1.2,3) and transition proba- bility matrix 0 4 6 P 25 75 0 4 0 6 Let the initial distribution be q(0) [1(0), q2(0), s(0) [0.4, 0.2, 0.4] (a) Find ELX. (b) Calculate PlX,-2, X,-2, X,-11X,-1]. (c) To what matrix will the n-step transition probability matrix converge when n is very large? Your solution should be accurate to two decimal places.
Question 16 Given the following function, calculate f(9). xx<-8 -2 X=-8 6x X-8 a) 54 b) 09 c) 81 d) O-48 e) -8 1) None of the above
Problems 21- 26 are based on the following information: A paper-cutting machine is operating in a process that is producing paper of a standard length (11.5 inches). As the paper is being cut by the machine, periodically subgroups of five pieces are selected. The results for a set of 20 consecutive subgroups were as follows: Subgroup Range Ri Subgroup Mean X. Subgroup Subgroup Range Ri Subgroup Mean X Subgroup Number Number 0.061 11.494 11 0.043 11.523 1 0.054 11.506 0.049...
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