O A. Ho: Ốc = Ec and Op = Ep and Ow =Ew H,: Oc #Ec or Op #Ep or Ow #Ew B. Ho: Gender and drop reason are independent. H,: Gender and drop reason are dependent. OC. Ho: Pc = Pp = Pw H,: At least one of the proportions is different

Q: 1.7 Applying Rules From the premises "p and not q" and "r and not s", we can derive the conclusion…

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Q: Given A,B and C required to prove that A\(B\C)=(A\B)U(A∩B∩C)

A: Given  A, B, C are any three sets  We have to prove  A\(B\C)=(A\B)U(A∩B∩C)    Let X be unversal set…

Q: Determine the line and the reason for the entry on line 3 given the following part of a formal proof…

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Q: 6. Draw a conclusion from the given statements: * Carlos is a grandfather. Carlos is bald.…

A: It is a logical reasoning problem

Q: Determine the line and the reason for the entry on line 3 given the following part of a formal proof…

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Q: Somie, a leader of the underworld, was killed by one of his own band of four henchmen. Detective…

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Q: Determine the line and the reason for the entry on line 4 given the following part of a formal proof…

A: For two given statements, if one statement implies the other and the first statement is valid, the…

Q: det(AB) =det(A)det(B). Select one: OTrue O False

A: If C=abcd , then det(C)=ad-bc .

Q: Consider the following statements: f: The tour will not go to Italy. g: The hotel fees are not…

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Q: Consider the following statements: f: The tour will not go to Italy. g: The hotel fees are not…

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Q: 17. SP NA and SP NA Yes or No Why (not): 18. SN = PA and SP NA Yes or No Why (not): 19. ZPSN = ZPAN…

A: 17. Given SP≅NA and SP||NA. That is, for the quadrilateral SNAP, one pair of opposite sides SP and…

Q: a) If A belongs to B and B belongs to C, then A belongs to C. b) If A belongs to B and B belongs to…

A: Solution

Q: Solve number 3

A: The rules of inference is written in respective lines that has been used in the proof.

Q: Let R={y,p}, S={z,p,u}, and T={r,y,p,u,z}, For each of the following questions, enter T if the…

A: Given that R={y,p} ,S={z,p,u} ,and T={r,y,p,u,z}1) R has the element y, but S does not have y in it.…

Q: (b) Consider the statement: if x 0, then x < y. State the hypothesis P(x, y) and the conclusion…

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Q: (b) Consider the statement: if x 0, then r< y. State the hypothesis P(x,y) and the conclusion Q(x,…

A: Consider the statement " If x≤y+∈, ∀∈&gt;0, then x≤y."

Q: 10. Given: MN || PO, MP || NO Prove: MP = ON Statements Reasons 1. 1. 2. 2. 3. 3. 4. 4. 5. 5. 6. 7.…

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Q: (b) Let 4, ý, 0 e S(P). Suppose o = v, that is, o and ý are logically equivalent. Show that (i) If p…

A: Logically Equivalent- Two expressions p and q are said to be logically equivalent i.e p≡q if they…

Q: The following statements are true except (p v q) (¯p v¬q) (p → q) (¯p v q) O (p v q) (q v p) pa (q v…

A: Let us draw the truth tables for each of the following  1) ~p∨q⇔~p∨~q p q p∨q ~p∨q ~p ~q ~p∨~q…

Q: Is the following argument valid? All students are Alpha-draconians Darcy is not an Alpha-draconian…

A: We will use Venn diagram to solve the problem.

Q: 6) Using the following sets, determine if each statement is true or false. P = {Belgium, Canada,…

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Q: a. Drives a Waja car or a Toyota car b. Is a male or a worker who drives a Honda car, c. Drives a…

A: HERE AS PER POLICY I HAVE CALCULATED 3 SUBPARTS ONLY  here draw contigency table from given…

Q: provide a fitch proof P Q¬R→ (Q → S) R → T T&P:Q &S

A: We have to prove the given arguments.

Q: Question 7 State the rule of inference by which its conclusion follows from its premise or premises.…

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Q: Let P. Q. R be true, false true, respectively. Which of the following is true? * PA ΡAQAR PA~Q ^~R O…

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Q: evenue (MR). MC AC MR Figure 5 uppose the firm is considering entering the market. Which of the…

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Q: Given P(A) = 0.30, P(B) = 0.46 , and P(A and B) = 0.31 is P(AorB) ?

A: Given that, P(A)= 0.30 and P(B)=0.46 PA and B=PA∩B=0.31 From the probability theory, PA or B=PA∪B…

Q: iven P(A) = 0.25, P(B) = 0.28, and P(B|A) = 0.28, are A and B independent or dependent?

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Q: Which of the following is equivalent to (p^ (p → q)) → q? a) True b) False c) Contradiction b and c

A: Let's find.

Q: If I recite the preamble, then I will pass the subject and I will get an A. G) * O R-SAA O (R→S)^A…

A: The connectives are used to connect two statements. The connective implies → is used to connect the…

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

A:

Q: Determine the line and the reason for the entry on line 5 given the following part of a formal proof…

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Q: Given the premise ∀x[p(x)→q(x)]∀x[p(x)→q(x)] , what rule is the conclusion p(c)→q(c)p(c)→q(c), for…

A: Given,         ∀x[p(x)→q(x)]

Q: 1. Proof the following by deductive reasoning: a) (p → q) A (q → r) =p →r Transitive Law b) (p → r)…

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Q: 1. Show that the following pairs are logically equivalent: a. P^ (Q V R); (P^ Q)V (P ^ R) b. P v (Q…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: According to a recent survey of first-year high school students, 28% chew gum daily. The students…

A: Introduction: Since 28% or 0.28 proportion of the first-year high school students chew gum daily, P…

Q: Determine the line and the reason for the entry on line 3 given the following part of a formal proof…

A:

Q: If P(A)-=0.7, P(B)=0.3, and P(A and B)=0.07, are A and B independent?

A: The probabilities are PA=0.7,PB=0.3, and PA and B=0.07. If the event A and B are said to be…

Q: By using Venn diagrams, test the validity of the following argument: All teenagers eat oily foods.…

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Q: If A and B are mutually exclusive, and if P(A) = 0.1 and P(B) = 0.4, what is P(AUB)? P(AUB)=

A: It is given that, P(A) = 0.1 and P(B) = 0.4.

Q: The law of syllogism states that if p→q and q→r, then p→r. O True O False

A:

Q: 1. Which of the following is true? a) Ds- Ps = Qs b) Dso =Ps = Qs c) Ds= Pso =Q2 d) Dso = Ps= Q2

A: In general, In general, D represents decile, P represents percentile and Q represents quartile.

Q: Is ∼((∼p ∧ q) ∨ (∼p ∧ ∼q)) ∨ (p ∧ q)  logically equivalent to p?

A: Verify whether ~~p∧q∨~p∧~q∨p∨q is logically equivalent to p using truth table as shown below.

Q: Question 6 of 50 Which of the following is the logical conclusion to the conditional staterments…

A: Given that a-&gt;b and b-&gt;c We need to find the logical conclusion of the conditional statement.…

Q: 1. Determine if the following statements are mathematical or not. a. Today is MMW class day. b. Eh,…

A: In this question we have to identify if the statement is mathematical or not. Note: As per our…

Q: Determine the line and the reason for the entry on line 5 given the following part of a formal proof…

A:

Q: Given P(A) = 0.25, P(B) = 0.28, and P(B|A) = 0.28, are A and B independent or dependent?

A: P(A) = 0.25, P(B) = 0.28 and P(B|A)= 0.28 For independence of two events, we must have P(A and B) =…

Q: State the rule of inference by which its conclusion follows from its premise or premises. (H ɔ (I =…

A: We have used here the rule     P v Q    ~Q  Therefore  Q

Q: I want p(I and c) P(not I and not c) P(I or not c)

A: Note: According to Bartleby expert guidelines, we can answer only first question with their three…

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.