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10:44 A. FSTM3074 PC2 0.pdf < [TOTAL: 8 MARKS] Question 2 a) Given that p =...
Question 5 15 marks] Let X be a random variable with pdf -{ fx(z) = -...
Question 5 15 marks] Let X be a random variable with pdf -{ fx(z) = - 0<r<1 (1) 0 :otherwise, Xa, n>2, be iid. random variables with pdf where 0> 0. Let X. X2.... given by (1) (a) Let Ylog X, where X has pdf given by (1). Show that the pdf of Y is Be- otherwise, (b) Show that the log-likelihood given the X, is = n log0+ (0- 1)log X (0 X) Hence show that the maximum likelihood...
Question 5 15 marks] Let X be a random variable with pdf -{ fx(z) = - 0<r<1 (1) 0 :otherwise, Xa, n>2, be...
Question 5 15 marks] Let X be a random variable with pdf -{ fx(z) = - 0<r<1 (1) 0 :otherwise, Xa, n>2, be iid. random variables with pdf where 0> 0. Let X. X2.... given by (1) (a) Let Ylog X, where X has pdf given by (1). Show that the pdf of Y is Be- otherwise, (b) Show that the log-likelihood given the X, is = n log0+ (0- 1)log X (0 X) Hence show that the maximum likelihood...
How would I go about solving this? Question 1 Question: Given that log 3 p and...
How would I go about solving this?
Question 1 Question: Given that log 3 p and log. 6 Q Express the given logarithmic value in terms of panda = log, 162 2p+39 0 Pa P1 Type here to search
4. Two RVs with a joint pdf given as follows fx.x ), 0<x< 1,0 <y<1 otherwise...
4. Two RVs with a joint pdf given as follows fx.x ), 0<x< 1,0 <y<1 otherwise (a) Find fr ). (6 point) (b) Find fxy(x[y). (6 points) (c) Are X and Y independent? (clearly show justification for credit) (6 points)
Question 2 [20 marks] = Given that the price of the product is P(Q) 4000 –...
Question 2 [20 marks] = Given that the price of the product is P(Q) 4000 – 33Q and the Marginal Cost function of producing the same product is C' = 602 – 6Q + 400. Assuming Q> 0. a) Find the revenue and marginal revenue function of the production in term of Q. (3 Marks) b) Find the total cost function if the fixed cost of the production is RM5000. (4 Marks) c) Interpret the result of the marginal profit...
2. (10 marks) Let X, and X, be two random variables with joint pdf 3.1 0...
2. (10 marks) Let X, and X, be two random variables with joint pdf 3.1 0 < x <3 <1; xix,( 22) - Yo elsewhere. a) Are X, and X, independent? If not, find E(X,X2). b) Are X, and X, correlated? Find Cou(X1, X2).
. For > 0 and A > 0, define the joint pdf -Ay = 0<x<A,<y, fx.y(,y)...
. For > 0 and A > 0, define the joint pdf -Ay = 0<x<A,<y, fx.y(,y) 10 else. (a) Express c in terms of X and A. (b) Find E[XY]. (c) Let [2] be the largest integer less than or equal to z. For example, (3.2] = 3 and [2] = 2. Find the probability that [Y] is even, given that 4 <x< 34
QUESTION 2 [10 marks! For the state of stress shown it is known that the normal...
QUESTION 2 [10 marks! For the state of stress shown it is known that the normal and shearing stresses are directed as shown in Figure 2 and that 0,- 63 MPa, 0, -42 MPa and try = 28 MPa. Based on the information given, compute; 42 MPa 28 MPa 63 MPa Figure 2 (a) (b) the orientation of the principal planes. the principal stresses. 15 marks) (5 marks) QUESTION 35 marks The beam shown in Figure 3 is roller supported...
Question 2: The PDF of snowfall (in inches) is given as: 10 -0, otherwise Determine the...
Question 2: The PDF of snowfall (in inches) is given as: 10 -0, otherwise Determine the cumulative distribution function? (3 points)
- Question 1 1 point The following function is a pdf: 2 - x) 0 <3...
- Question 1 1 point The following function is a pdf: 2 - x) 0 <3 < 2 f (x) = { 10" 1 0 otherwise True False - Question 2 1 point Number Help A card is drawn from a standard deck of 52 cards. What is the probability that the card belongs to the set {4,5..., 8}? decimal accuracy please.) -ZC Number
Question 5 15 marks] Let X be a random variable with pdf -{ fx(z) = - 0<r<1 (1) 0 :otherwise, Xa, n>2, be iid. random variables with pdf where 0> 0. Let X. X2.... given by (1) (a) Let Ylog X, where X has pdf given by (1). Show that the pdf of Y is Be- otherwise, (b) Show that the log-likelihood given the X, is = n log0+ (0- 1)log X (0 X) Hence show that the maximum likelihood...
Question 5 15 marks] Let X be a random variable with pdf -{ fx(z) = - 0<r<1 (1) 0 :otherwise, Xa, n>2, be iid. random variables with pdf where 0> 0. Let X. X2.... given by (1) (a) Let Ylog X, where X has pdf given by (1). Show that the pdf of Y is Be- otherwise, (b) Show that the log-likelihood given the X, is = n log0+ (0- 1)log X (0 X) Hence show that the maximum likelihood...
How would I go about solving this?
Question 1 Question: Given that log 3 p and log. 6 Q Express the given logarithmic value in terms of panda = log, 162 2p+39 0 Pa P1 Type here to search
4. Two RVs with a joint pdf given as follows fx.x ), 0<x< 1,0 <y<1 otherwise (a) Find fr ). (6 point) (b) Find fxy(x[y). (6 points) (c) Are X and Y independent? (clearly show justification for credit) (6 points)
Question 2 [20 marks] = Given that the price of the product is P(Q) 4000 – 33Q and the Marginal Cost function of producing the same product is C' = 602 – 6Q + 400. Assuming Q> 0. a) Find the revenue and marginal revenue function of the production in term of Q. (3 Marks) b) Find the total cost function if the fixed cost of the production is RM5000. (4 Marks) c) Interpret the result of the marginal profit...
2. (10 marks) Let X, and X, be two random variables with joint pdf 3.1 0 < x <3 <1; xix,( 22) - Yo elsewhere. a) Are X, and X, independent? If not, find E(X,X2). b) Are X, and X, correlated? Find Cou(X1, X2).
. For > 0 and A > 0, define the joint pdf -Ay = 0<x<A,<y, fx.y(,y) 10 else. (a) Express c in terms of X and A. (b) Find E[XY]. (c) Let [2] be the largest integer less than or equal to z. For example, (3.2] = 3 and [2] = 2. Find the probability that [Y] is even, given that 4 <x< 34
QUESTION 2 [10 marks! For the state of stress shown it is known that the normal and shearing stresses are directed as shown in Figure 2 and that 0,- 63 MPa, 0, -42 MPa and try = 28 MPa. Based on the information given, compute; 42 MPa 28 MPa 63 MPa Figure 2 (a) (b) the orientation of the principal planes. the principal stresses. 15 marks) (5 marks) QUESTION 35 marks The beam shown in Figure 3 is roller supported...
Question 2: The PDF of snowfall (in inches) is given as: 10 -0, otherwise Determine the cumulative distribution function? (3 points)
- Question 1 1 point The following function is a pdf: 2 - x) 0 <3 < 2 f (x) = { 10" 1 0 otherwise True False - Question 2 1 point Number Help A card is drawn from a standard deck of 52 cards. What is the probability that the card belongs to the set {4,5..., 8}? decimal accuracy please.) -ZC Number
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