1. Р(АВ,С) (B|C) 2. Р(C|А, В) х P(4) х Р(В 3. Р(А, B|С) х Р(С P(A|В, С) х Р(В]А, С) х Р(С|А, в 5. Р(A|В) х Р(BІC) х Р(С 6 P(CLA В) х Р(А В
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For each of the attached probabilistic expressions, please answer "yes" or "no" to indicate if it is equal to P(A,B,C), given Boolean random variables A, B and C , and no independence or conditional independence are assumed between any of them.
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- Correct answer will be upvoted else downvoted. Computer science. decimal portrayal of x without driving zeroes comprises of a digits; the decimal portrayal of y without driving zeroes comprises of b digits; the decimal portrayal of gcd(x,y) without driving zeroes comprises of c digits. gcd(x,y) indicates the best normal divisor (GCD) of integers x and y. Output x and y. In case there are various replies, output any of them. Input The primary line contains a solitary integer t (1≤t≤285) — the number of testcases. Every one of the following t lines contains three integers a, b and c (1≤a,b≤9, 1≤c≤min(a,b)) — the necessary lengths of the numbers. It very well may be shown that the appropriate response exists for all testcases under the given limitations. Extra requirement on the input: all testcases are unique. Output For each testcase print two positive integers — x and y (x>0, y>0) to such an extent that the decimal portrayal of x without…Alice wants to send Bob her account number for his dining dollars. Bob’s account number is 24. Bob wants to encrypt her account number using the RSA algorithm scheme as evil Eve wants to steal her money to buy M&Ms. Bob chooses two prime numbers, 23 and 37, and uses them to compute the number m. Bob then computes the number e and the number d by using things he knows about the number m and its relationship to e. Bob sends the number e and the number m to Alice and she uses them to encrypt her number A and obtains the number C. C is the encrypted version of her code. Alice sends the number C to Bob, and then Bob uses the number d to decrypt Alice’s message. Using this information, encrypt and decrypt the message to show that the RSA algorithm works, then in a few words explain what makes the algorithm secure if the key for encrypting is always public.Write Algorithm and related theory of the following problem. Do not write code. C++: When a message is transmitted in secret code over a transmission channel, it is usually sent as a sequence of bits, that is, 0s and 1s. Due to noise in the transmission channel, the transmitted message may become corrupted. That is, the message received at the destination is not the same as the message transmitted; some of the bits may have been changed. There are several techniques to check the validity of the transmitted message at the destination. One technique is to transmit the same message twice. At the destination, both copies of the message are compared bit by bit. If the corresponding bits are the same, the message received is error-free. Response Required: Write a program to check whether the message received at the destination is error-free. For simplicity, assume that the secret code representing the message is a sequence of digits (0 to 9) and the maximum length of the message is 250…
- ¬∀x∀y∃z P(x, y, z) has the same truth value as ___. Group of answer choices ¬∃x∃y∀z P(x, y, z) ∀x∀y∃z ¬P(x, y, z) ∃x∃y∀z P(x, y, z) ∃x¬∀y∃z P(x, y, z) ¬∀x∀y A(x, y) has the same truth value as ___. ∀x¬∃y A(x, y) ∃x¬∀y A(x, y) ∀x∀y ¬A(x, y) ∀x∃y ¬A(x, y) ¬∃x∀y∃z (x – y < z) has the same truth value as ___. ∀x∃y∀z (x – y ≥ z) ∀x∃y∃z (x – y ≥ z) ∃x∀y∃z (x – y < z) ∀x∃y∀z (x – y > z)f(x)=x^2(x-4)(x+2)^2 Bounce(B) or Cross(C) (in ascending order of zeros): Incorrect (So type CBC or BBB or...)18.Convert 4 square miles to square inches.x Relevant conversions: 1 mile = 5,280 feet, 1 foot = 12 inchesx Express the result in decimal and also in scientific notation.19.Convert 3 square hectometers to square micrometersx Required conversions: use table of metric prefixes.x Decide if it is preferable to display in scientific notation.20.Convert 8 square inches to square nanometersx Necessary conversions: 1 inch = 2.54 cm and table of prefixesmetric.x Decide if it is preferable to display in scientific notation.
- Assume the following variable addresses. fish is at 1000 cow is at 1004 goat is at 1008 frog is at 1012 fox is at 1016 toad is at 1020 Please show work and trace on paperIf S = { x | 0 ≤ x ≤ 10}, A = { x | 1 ≤ x ≤ 5}, B = { x | 1 ≤ x ≤ 6}, and C = { x | 2 ≤ x ≤ 7}(a) S ⋃ C(b) A ⋃ B(d) A’ ⋂ C(c) A’⋃ (B ⋂ C)(e) (A ⋂ B) ⋃ (B ⋂ C) ⋃ (C ⋂ A)42. Consider the expression given below. The value of X is:X = 2+9*((3*12)-8)/10 a. 30.0 b. 30.8 c. 28.4 d. 27.2
- Given the following definitions: U={a,b,c, d, e, f, g} A={a, c, e, g} B={a,b,c,d} find A n B1.Translate the symbols into words using the following representations:P: Dianne is a college freshman.Q: Dianne is a class officer.a.P v Q b. P ^ Q c. ~P ^ Q d. P v ~Q e. P ⇔ Q2.Translate the words into symbols using the following representationsP: Jasmine is a student.Q Jasmine is a Filipinaa.Jasmine is a student and she is a Filipina.b.Jasmine is a student and she not is a Filipina.c.Jasmine is not a student nor is she a Filipina.d.If Jasmine is a student, then she is a Filipina.e.If Jasmine is not a Filipina, then she is not a student.3.Given the Conditional Statement. “If the angles in a triangle measures 450 – 450 -900, then it is an isosceles right triangle. Construct a statement as to the following:a.Conjunction b. Disjunction c. Negation d. BiconditionalLet Q(x, y) denote xy< 0 The domain of x is {1,2,3} and the domain of y is {0, -1, -2, -3). Implement the code that outputs the truth values of the following quantifications: 1. ∀x ∀y Q(x, y) 2. ∀x ∃y Q(x, y) Display values of variables x and y if the quantification is true.