(a) Which subsets of Q are in F? (b) Determine c. (c) Can you compute P(A) where A = {1, 3, 5,...}? (This is a bit tricky.)

Q: What are the possible number of Boolean functions with n-ternary variable?

A: We have to state the possible number of boolean functions with n-ternary variables.

Q: Let n(B) = 5 and n(AUB) = 7. (a) What are the possible values of n(A)? (b) If n(An B) = 0, what are…

A: Let A and B be two sets , then  n(A∪B)=n(A)+n(B)-n(A∩B) . Given that n(B)=5 and n(A∪B)=7 .

Q: H (a) Compute A², A³,..., A². (b) What is A2015? Why? 35. Let A = 36. Let B = -15-15 -15 V₂ V2 Find,…

A:

Q: (a) Let 7(n) be the number of divisors function and let (n) be the sum of divisors function.…

A:

Q: 2 1] and B =3 2, then (AB)T is equal 1 1 1 -2 1] If A = 2 1 3 to -3 -2] -3 10 (a) 10 7 (b) -2 7 -3 7…

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Q: if P(A and B)=P(A)*P(B) then P(A and B) cannot equal P(A)+P(B) True or False

A: It is given that  P(A and B) = P(A)*P(B)

Q: . How many Boolean functions are there of degree 7? Explain.

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Q: Which of the following two-digit internal operations on the set of all real functions is not…

A: The given operations are

Q: (a) Explain with cases why, if a is a real number,  then a ≤ |a|. (b) Explain, if, for any real…

A:

Q: If 'I' denotes the 'divides' relation, then what can be said about 'b' if (2 | b) ^ (b | 2) (2…

A: there are two relations 2 is divisible by b and b is divisible by 2 and there is a disjunction(means…

Q: Prove that la + b + c| < ]a] + ]b| + |c[

A: Prove that,    a+b+c≤a+b+c

Q: 1. Suppose P(A) = 4/10, P(B) = 5/10, and P(AB) = 2/10. (a) Compute P(AC). (b) Compute P(AUB). (c)…

A: As per our guidelines we are suppose to answer only three sub parts.…

Q: Let a (1) b=(1 1 1), A= Determine each of the following: A (a) a (b) A b (c) 12 ⓇA (d) A 12 (e) AⓇA…

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Q: Which of the following is equivalent to - (Vx (P(x)VQ (x?),

A: we will use demorgan law here 1)   ∼(P∧Q)=(∼P)∨(∼Q) 2)  ∼(P∨Q)=(∼P)∧(∼Q)

Q: If B C A, then (i) P(AB)=P(A) - P(B), (ii) P(B) ≤ P(A)

A:

Q: Typewritten for an upvote

A: Let, x is any real number and A is subset of R.

Q: [A] = [ The size of [A] = -5 5 -1 10 4 3 1 -4 by

A:

Q: 3. A polynomial containing exactly two terms is a(n) .......................

A: We know that, A polynomial containing exactly one term is a monomial. A polynomial containing…

Q: Let S1= {1, 5, 10, 15, 20} and let S2 = {1, 2, 3, 4, 5}. What is: (a) S1 ∪ S2 (b) S1 ∩ S2 (c) S1 –…

A: Given: The given sets are S1=1, 5, 10, 15, 20 and S2=1, 2, 3, 4, 5. To find: The main aim is to find…

Q: Find out the following: If A = {1,2}, then |p(p(A × p(A)))| = ?

A:

Q: A is the set of odd number greater than 5 and less than 23 n (A)=

A: A is the set of odd numbers greater than 5 and less than  23

Q: hat p (A) =0.3 and P (B) = 0.2 find P (A or B) given that (a) A and B are mutually exclusive, (b) A…

A: p (A) =0.3 and P (B) = 0.2  (a) A and B are mutually exclusive P (A or B) = P(A) + P(B)…

Q: A = {5,6} B = {5, 7 ,8} S = {n | n >= 3 is an odd integer} A relation R from AxB to S is defined…

A:

Q: The counterexample of A = {1} and B = Ø disproves which of the following statements where P(X)…

A: Given that A=1,B=∅. For (a). PA∩B=P1,∅∩∅=P∅=∅ And, P(A)∩P(B)=P1∩P(∅)=1,∅∩∅=∅ Hence statement of (a)…

Q: Suppose that the domain is the set of all integers, which of the following are propositions? There…

A: Proposition in mathematical logic is, a statement that evaluates true or false.  If P and Q are…

Q: Let P(x) be the propositional function “ x = x². Tell whether each p The domain of discourse is…

A: Introduction: A proposition is a collection of declarative statements with the truth value "true" or…

Q: 1. Let P (x) be the statement "x = x²." If the domain consists of the integers, give True/False…

A: We have given a statement ,  P(x) : x = x2 Here , domain consists of the integers , that is x ∈ ℤ.…

Q: 7. Which of the following statements are tautologies? (Select all the choic that apply) (а) Р —Q (b)…

A: Introduction: When the truth value of a statement is always true, it is referred to as tautology.…

Q: A certain country's postal service currently uses 5-digit postal codes in most areas. How many…

A: The total number of digits is 10. They are 0 to 9.

Q: If X~N(10,4) what is P(5<x<8)

A:

Q: a. Construct an interpretation (i.e., give the domain and the meaning of P(x)) in which (∀x)P(x) has…

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Q: 2. Calculate Karl Pearson's co-efficient of correlation between percentage of pass and failure from…

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Q: B Given that p(A| B)=0, and p(A)=.15, are A and B (a) independent? (b) exclusive?

A: Ans#- Given, P(A | B) = 0, and P(A) = 0.15.            Are A and B        (a) Independent?…

Q: Determine the value of each of the following expressions with the table: a) f(g(1)) b) g(f(1)) c)…

A: (a)f(g(1))  From the table , the value of g(x) at x=1 is 6, so g(1)=6 b) g(f(1)) From the table ,…

Q: Number 3

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Q: Claim: The mean pulse rate (in beats per minute) of adult males is equal to 69 bpm. For a random…

A: Given n=125 Standard deviations=10.7

Q: The following are equivalent statements (i) a E R is constructible from Q (ii) (a,0) is…

A: Our claim is to prove that given statements are equivalent to each others.That is, if one of them…