For two bits a, b we know that ( a = b ) iff (a ⊕ b ) ' is True. Can we extend this to three bits? Specifically, is (a = b = c) equivalent to ( a ⊕ b ⊕ c ) ' ? Justify your answer. (5 points)
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In the two sketches below, we show the ground state wave functions of electrons trapped in two different wells. (The wells extend beyond points , but we only show >(x) in this limited region.) The potential V(x)0 in the region between xa and x i both cases, but has different forms elsewhere Xb a) Which electron has the higher kinetic energy in the region between xa and xp b) Justify your answer.
In the two sketches below, we show the...
5. we have two independent samples of n observations X1,X2, ,x, and Yi, ½, ,y, We want to test the hypothesis Ho M Hy versus the alternative Hi: Hr y (a) First, assume that the null hypothesis Ho is true and find the MLE for μ Ha-μυ (b) Then plug this estimate into the log likelihood along with the MLE's μ--x and μυ-D to calculate the LRT statistic (c) Is this likelihood ratio test equivalent to the test that rejects...
There are two events, A and B, where we know that P(A) > 0 and P(B) > 0. If we know these events are mutually exclusive (disjoint), then we can conclude that these events are: A. independant b. dependant c. both independant and dependant d. neither (we cannot know without the values)
5. We have two independent samples of n observations X1,X2-…Xn and Yi,½, . …Ý, We want to test the hypothesis H0 : μ®-ty versus the alternative H1 : μζ μυ. (a) First, assume that the null hypothesis H0 is true and find the MLE for μ- - y. (b) Then plug this estimate into the log likelihood along with the MLBs μτ-x and μ to calculate the LRT statistic. (c) Is this likelihood ratio test equivalent to the test that...
computer architecture
The sum of the two 32 bit integers may not be representable in 32 bits. In this case, we say that an overflow has occurred. Write MIPS instructions that adds two numbers stored in registers Ss1 and Ss2, stores the sum in register $s3, and sets register Sto to 1 if an overflow occurs and to 0 otherwise. 5. (16pts) 6. Show the IEEE 754 binary representation of the number -7.425 in a single and double 7. If...
1) We would like to design a bus system for 32 registers of 16 bits each. How many multiplexers are needed for the design? Select one: 5 16 1 4 32 2) The basic computer can be interrupted while another interrupt is being serviced. Select one: True False 3) If the Opcode bits of an instruction is 111, then the basic computer instruction type is either memory-reference or input-output. Select one: True False 4) The content of AC in the...
5. We have two independent samples of n observations X1, X2,... , Xn and Yi, Y2,..., Y, We want to test the hypothesis Ho : μ®-,ty versus the alternative H, : μ*-t ,ty. (a) First, assume that the null hypothesis Ho is true and find the MLE for μ-Ae-μΥ. (b) Then plug this estimate into the log likelihood along with the MLE's μΧ-x and My to calculate the LRT statistic. (c) Is this likelihood ratio test equivalent to the test...
5. We have two independent samples of n observations X1, X2, .. . , Xn and Yı, Y2,.. . , Yn We want to test the hvpothesis H 0 : μΧ-My versus the alternative H1 : μΧ * My (a) First, assume that the null hypothesis Ho is true and find the MLE for μ-Ac-My (b) Then plug this estimate into the log likelihood along with the MLE's μχ-x and My-- to calculate the LRT statistic (c) Is this likelihood...
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5. We have two independent samples of n observations X1,Xy,.. . ,x, and Y. Ya, . … We want to test the hypothesis Ho : μ,-μυ versus the alternative Hi : μ, μν. (a) First, assume that the null hypothesis Ho is true and find the MLE for μ (b) Then plug this estimate into the log likelihood along with the MLE μ'.. and 1,-j) to calculate the LRT statistic. (e) Is this likelihood ratio test...
How can we know when the code implementation of a cryptographic algorithm is correct to use? Justify your answer.