2. Suppose A and B are independent. If Pr[A ∪ B] = .6 and Pr[A] = .4, find Pr[A ∩ B Compliment]

Q: If P(A) = 0.33%, P(B) = 0.79%, and A and B are mutually exclusive, what is P(A ∩ B)?

A:

Q: Show that the statement If n E N and a E Z*, then [Q(Va): = n is false.

A:

Q: If = and , -, what is e a+b %3D

A:

Q: Vhich of the following are correct?

A:

Q: Construct a circuit for (~P^~Q) v (~P^Q)

A: We have given expression,  And we have to construct circuit using NOT, AND and OR gates.

Q: B. Illustrate the following sets above in Venn 1. A' 2. BUE 3. FnD

A: Ac =U\A ,where U is universal set. Since the Universal set is not given, Ac can not compute by…

Q: arch report states that t(18)=+3.09, p<. 05. For this test, r2 =. 33. True

A: Given: df = 18 test value (t) = 3.09

Q: If A -B=0, implies that A*=B"

A: Given a statement

Q: If p(A) =, p(B) = and p(A and B) =;, are A and B independent?

A: Given,P(A)=12P(B)=310P(A∩B)=45

Q: Given that P(A/B) = 0.5, P(A)=0.4, and P(B) = 0.44 , then P(A/B) is equal to ?

A: Given : P(A|B) = 0.5 P(A) = 0.4 P(B) = 0.44

Q: Suppose that an experimenter tossed three balanced coins. He defined X₁, to denote the number of…

A:

Q: disprove the fallowing A,B and C; of for D PLAUB) - P (A) U P (B) ll

A: Please refer to the image below

Q: For the very last part, would "conclude" mean reject or support?

A: The claim is alternative hypothesis.

Q: Which of the following statements is NOT true about

A: Option b: It must be defined properly at the end of the research.

Q: Prove that at a party where there are at least two people, there are two people w know the same…

A:

Q: Which of the following statemens is equivalent to the statement Vq))?

A:

Q: Conclude the below? If P &gt; α, we fail to reject H0.

A: the p-value is very important for making the decision based on the hypothesis. It helps the…

Q: A How many paths are there from A to C?

A:

Q: Which of the following statement is not correct?

A: Exclusive or or exclusive disjunction is a logical operation that is true if and only if its…

Q: Suppose P(A)=0.6, P(B)=0.4, and both A and B are independent. Calculate P(A or B).

A: We have to find given probability.

Q: Suppose that p is false, but q is true. Which of the following statements are also true? Select all…

A: Given the statement p is false, but q is true.

Q: Is the following statement true or false and why: If we do not reject H0, then we conclude that H1…

A: The given statement is “if we do not reject H0, then we conclude that H1 is false.

Q: Suppose that Pr[A|B] = 1/3, Pr[A] = 1/6, and Pr[B Compliment] = 3/4. Find Pr[B|A Compliment]. (Hint:…

A: Given that, Suppose that P [A|B] = 1/3, P [A] = 1/6, and P [B Compliment] = 3/4.…

Q: a. Is there a relationship between a respondent's country of residence agreement to the statement on…

A: Solution According to the question, the response regarding a respondent's country of residence and…

Q: 1) Show that the following pairs are logically equiw a) р^(qVr) (pAq)V(pAr) b) pV(qAr) (pVq)A(pVr)

A: Given: p∧q∨r; p∧q∨p∧rp∨q∧r; p∨q∧p∨r

Q: If p(A) = 0.11, p(B) = 0.15 and p(A and B) = 0.26, are A and B independent? %D

A:

Q: If P (A) = 0.3, P(B) =0.6, and P (Aor B) =0.7 are A and B mutually exclusive?

A: Two events are said to be mutually exclusive when both can not occur simultaneously.  A and B are…

Q: Given that p(A)=.52, and p(A│B)=.89, are A and B (a) independent? (b) exclusive?

A:

Q: If A 3 4a, — 2а, + ба, and B %3D 12aа, + 18а, — 8а, determine: (а) А — ЗВ (b) (2A + 5B)/в| (с) а, XА…

A: Given, A =4ax -2ay +6az B= 12ax +18ay -8az

Q: If P(A) = 0.22, P(B) = 0.55, and A and B are mutually exclusive, find P(A or B).

A: Two event A and B are said to be mutually exclusive if their intersection is a null event i.e. A∩B=ϕ…

Q: Provided the follow While there are man

A:

Q: AS B iff (B n C) U A = B n (C U A)

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: O If p(A) = 0.17, p(B) = 0.06 and p(A and B) = 0.0102, are A and B independent?

A:

Q: 5. Demonstrate that Im(iz) = Re(z).

A: It is required to demonstrate the problem 5. Problem 5 is solved below in detail.

Q: Suppose that X, Y ⊆ U. If n(X) = 24, n(Y ) = 18, and n(X ∩ Y ) = 14, what is n(X Compliment ∪ Y ) if…

A:

Q: 1. If X ~ N(200,2²), find а) Р(X < 197) b) Р(Х < 200 .5)

A: Note: According to Bartleby, expert solve only one question and maximum 3 subpart of the first…

Q: 7. Establish for A is m × n and B, C are n x p, that A(B+C) = AB + AC

A:

Q: - If p(A) = 0, p(B) = and p(A and B) = 19 100, are A and B independent?

A:

Q: Given that p(A)=.87, p(B)=.71, and p(A| B) =.87, are A and B (a) independent? (b) exclusive?

A:

Q: Suppose P(A) = 5 and P(B) = 3 and A and B are independent. What is P(A and B)?

A: It is given that P(A)=0.5 and P(B)=0.3.

Q: Is the following statement true or false?

A: Here,  we have to choose true or false statement The given statement is #=-#

Q: Prove (p a q) and (T→ (¬ (p →q))) are both wff:

A:

Q: Let A = { c, d, f, g} B = { f, j} C= { d, g} Is C C C? True False

A: Every  set is subset  of it self Here C is subset  of C

Q: Which of the following is equivalent to the statement "If any book that any member has checked out…

A: The statement given is as follows: "If any book that any member has checked out is overdue, that…

Q: 4) Find x if m/DEJ = x + 51, m¿DEF = 160°, and mJEF x+ 131.

A: From figure m∠DEF=m∠DEJ+m∠JEF160=x+51+x+1312x=160-182=-22x=-11°

Q: If P(A) = 0.36%, P(B) = 0.61%, and A and B are mutually exclusive, what is P(A ∩ B)?

A: We have given that,  A and B are Mutually exclusive events and P(A) = 0.36%, P(B) = 0.61% then,  We…

Q: 2) If a + b + c = 0, show that a × b = b × c = cxā

A: Solve the following

Q: Suppose p is false, q is false, s is true. Then (svp)^(q^-s) is T/F? A True False

A:

Q: When does vxayP(x, y) be true? A) P(x, y) is true for every pair x, y. В For every x there is a y…

A: Given that, ∀x∃y P(x,y)

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.