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1) Consider the switching networks shown in Fig. 1. Let Ai, A2, and As denote the...
B A S3 FIGURE 1.18 Figure for Problem 1.23 1.23 Consider the switching networks shown in...
B A S3 FIGURE 1.18 Figure for Problem 1.23 1.23 Consider the switching networks shown in Figure 1.18. Let E denote the event that switch S is closed, k 1,2,3,4. Let EAB denote the event that there is a closed path between nodes A and B. Express EA in terms of the E for each network.
4) Consider the switching network shown in Fig. 4. It is equally likely that a switch...
4) Consider the switching network shown in Fig. 4. It is equally likely that a switch will or will not work Find the probability that a closed path will exist between terminals a and b C4 Figure 4
Let {dn}n≥0 denote the number of integer solutions a1 +a2 +a3 +a4 = n where 0 ≤ ai ≤ 5 for each i...
Let {dn}n≥0 denote the number of integer solutions a1 +a2 +a3 +a4 = n where 0 ≤ ai ≤ 5 for each i = 1, 2, 3, 4. Write the ordinary generating function for {cn}n≥0. Please express the ordinary generating function as a rational function p(x) /q(x) where both p(x) and q(x) are polynomials in the variable x.
4. A certain system can experience three different types of defects. Let Ai(i= 1,2,3) denote the...
4. A certain system can experience three different types of defects. Let Ai(i= 1,2,3) denote the event that the system has a defect of type i. Suppose that: P(A1) = 0.12, P(A2) = 0.07, P(A3) = 0.05, P(A1∪A2) = 0.13, P(A1∪A3) = 0.14, P(A2∪A3) = 0.10, P(A1∩A2∩A3) = 0.01. (a) What is the probability that the system does not have a type 1 defect? (b) What is the probability that the system has both type 1 and type 2 defects?...
6. Consider two possible networks for connecting points X and Y: a1 bi Л. C) b2...
6. Consider two possible networks for connecting points X and Y: a1 bi Л. C) b2 a2 Network 1 Network 2 and let A : Event that switch ai įs closed. A2Event that switch a2 is closed. Bi : Event that switch bi s closed B2 Event that switch b is closed We are given that P(A) = 0.8,P(A2) = 0.8, and that the events A1 and A2 are independent. Similarly, we are given that P(B) = 0.9. P(B) =...
Question 1 For the flyback converter shown in Fig. 1, Vin is 30 V, Vout is 8 V, the output power is 30 w, 30 turns are...
Question 1 For the flyback converter shown in Fig. 1, Vin is 30 V, Vout is 8 V, the output power is 30 w, 30 turns are fitted to winding Ww1, 15 turns are fitted to winding W2, the inductance of W1, L1, is 50 uH and the switching frequency is 200 kHz. The flyback converter operates in continuous conduction mode. Calculate the time for which S1 is switched on a. b. Calculate Aisı during the time S1 is switched...
Problem #7: A certain system can experience three different types of defects. Let Ai (1 1,2,3)...
Problem #7: A certain system can experience three different types of defects. Let Ai (1 1,2,3) denote the event that the system has a defect of type i. Suppose that P(41) = 0.3 l, P(d2) = 0.29, Padg) = 0.35, P(A2 U A3) = 0.59. P(41 n.42 n A3) = 0.03 (a) Find the probability that the system has exactly 2 of the 3 types of defects. (b) Find the probability that the system has a type 1 defect given...
e. Application of Bayes: Using Bayes theorem driven in item d, show that in the following problem switching is the bett...
e. Application of Bayes: Using Bayes theorem driven in item d, show that in the following problem switching is the better strategy for the player and makes the probability of wining as 2/3, while not switching gives the probability of wining 1/3. Monty Hall: There are 3 doors 1, 2, 3. Randomly, and equally likely, behind one of the door there is a prize, and other two are empty. The player choose one door. He does not open the door...
2. Consider the Lloyd's Mirror experiment shown in Fig. 2. Let a be the distance from...
2. Consider the Lloyd's Mirror experiment shown in Fig. 2. Let a be the distance from the mirror surface to the line joining source and receiver, and let L be the distance between source and receiver (a) Detks an exprosion for the goanstrie pott tifrnce A s ta toms of and ) betwomthe t paths that waves may propagate from source to receiver (b) Let λ denote the wavelength and m an integer. Write down an equation (in terms of...
1) (Review Problem) Consider the voltage source and resistor networks shown in Figure A. la) Ib)...
1) (Review Problem) Consider the voltage source and resistor networks shown in Figure A. la) Ib) c) ld) For the circuit shown in Fig A, find the Thevenin equivalent network between node 1 and ground. For the circuit shown in Fig A, what is the open-circuit voltage between node 1 and ground (i.e. voltage on node 1 for circuit shown in figure)? For the circuit shown in Fig. A, suppose that we connect a load resistor of 21 kΩ between...
B A S3 FIGURE 1.18 Figure for Problem 1.23 1.23 Consider the switching networks shown in Figure 1.18. Let E denote the event that switch S is closed, k 1,2,3,4. Let EAB denote the event that there is a closed path between nodes A and B. Express EA in terms of the E for each network.
4) Consider the switching network shown in Fig. 4. It is equally likely that a switch will or will not work Find the probability that a closed path will exist between terminals a and b C4 Figure 4
6. Consider two possible networks for connecting points X and Y: a1 bi Л. C) b2 a2 Network 1 Network 2 and let A : Event that switch ai įs closed. A2Event that switch a2 is closed. Bi : Event that switch bi s closed B2 Event that switch b is closed We are given that P(A) = 0.8,P(A2) = 0.8, and that the events A1 and A2 are independent. Similarly, we are given that P(B) = 0.9. P(B) =...
Question 1 For the flyback converter shown in Fig. 1, Vin is 30 V, Vout is 8 V, the output power is 30 w, 30 turns are fitted to winding Ww1, 15 turns are fitted to winding W2, the inductance of W1, L1, is 50 uH and the switching frequency is 200 kHz. The flyback converter operates in continuous conduction mode. Calculate the time for which S1 is switched on a. b. Calculate Aisı during the time S1 is switched...
Problem #7: A certain system can experience three different types of defects. Let Ai (1 1,2,3) denote the event that the system has a defect of type i. Suppose that P(41) = 0.3 l, P(d2) = 0.29, Padg) = 0.35, P(A2 U A3) = 0.59. P(41 n.42 n A3) = 0.03 (a) Find the probability that the system has exactly 2 of the 3 types of defects. (b) Find the probability that the system has a type 1 defect given...
e. Application of Bayes: Using Bayes theorem driven in item d, show that in the following problem switching is the better strategy for the player and makes the probability of wining as 2/3, while not switching gives the probability of wining 1/3. Monty Hall: There are 3 doors 1, 2, 3. Randomly, and equally likely, behind one of the door there is a prize, and other two are empty. The player choose one door. He does not open the door...
2. Consider the Lloyd's Mirror experiment shown in Fig. 2. Let a be the distance from the mirror surface to the line joining source and receiver, and let L be the distance between source and receiver (a) Detks an exprosion for the goanstrie pott tifrnce A s ta toms of and ) betwomthe t paths that waves may propagate from source to receiver (b) Let λ denote the wavelength and m an integer. Write down an equation (in terms of...
1) (Review Problem) Consider the voltage source and resistor networks shown in Figure A. la) Ib) c) ld) For the circuit shown in Fig A, find the Thevenin equivalent network between node 1 and ground. For the circuit shown in Fig A, what is the open-circuit voltage between node 1 and ground (i.e. voltage on node 1 for circuit shown in figure)? For the circuit shown in Fig. A, suppose that we connect a load resistor of 21 kΩ between...
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