A survey of 145 college students was done to find out what elective courses they were taking. Let A=the set of those taking art, B= the set of those taking basketweaving, and C= the set of those taking canoeing. The study revealed the following information.n(A)= 45n(B)= 55n(C)=40n(AnB)= 12n(AnC)= 15n(BnC)= 23n(AnBnC)= 2 How many students were not taking any of these electives?

Q: i) [(7)–21(5)

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: If P(A) = 0.3, P(B) = 0.3, and P(A and B) = = P(A or B) = X 0.2, find P(A or B).

A: we have probability of P(A)= 0.3 and P(B)=0.3 and P(A and B)=0.2

Q: Given P(A) = 0.78, P(B) = 0.45, and P(B|A) = 0.97, what is P(A and B)?

A:

Q: An BnC (A-B)U(A-C)U(3 Match each of the options above to the items below. S Di An (BUC) 4

A:

Q: 12. Jackson has scores of 80, 90, 83, and 81 on four Math quizzes. What is the score he needs on the…

A: Let us assume that the next score is x then

Q: The AM and GM for two observations are 5 and 4 respectively. Find the two observations.

A:

Q: Could you explain (b),(c) too?

A: We already have an orthonormal basis B from the standard basis is

Q: If P(A or B)= 0.8, P(A)= 0.5 and P(A and B) = 0.25, find P(B)

A:

Q: Find P(A∪B)

A:

Q: Given P(A) = 0.03, P(B) = 0.42, P(B|A) = 0.28, what is P(A and B)

A: GivenP(A)=0.03P(B)=0.42P(B|A)=0.28

Q: According to information released by the U.S. Census Bureau in July 2009, the population of…

A: The answer is found in step-2

Q: Use the union rule to answer. If n(A) = 9, n(B) = 10 and n(A N B) = 3, what is n(A U B)? ... n(A U…

A:

Q: If  n(A) = 105, n(A ∪ B) = 144, and n(A ∩ B) = 46, find n(B).

A: We know from set theory nA∪B=nA+nB-nA∩B

Q: ample. A oB indep, How about their are

A: We know : If two events are independent than occurrence of one does not effect the probability of…

Q: If n(A) = 106, n(A ∪ B) = 141, and n(A ∩ B) = 46, find n(B).

A:

Q: Given P(A and B) = 0.23, P(A) = 0.84, what is P(B|A)?

A:

Q: Use the union rule to answer. If n(A) = 6, n(B) = 10 and n(A N B) = 4, what is n(A U B)? n(A U B) =

A:

Q: Given P(A) = 0.78, P(B) = 0.87, and P(B|A) = 0.44, what is P(A and B)?

A: Given :  P(A) = 0.78 P(B) = 0.87 P(B|A) = 0.44

Q: If P(B) = 0.30, P(A ∪ B) = 0.65, and P(A ∩ B) = 0.15, find P(A).

A: Given;           PB=0.30PA∪B=0.65PA∩B=0.15 Find; PA If A and B are two different events then…

Q: Decide if the following n can be expressed as the sum of squares. If it is possible then provide…

A: This problem is based on the sum of two squares theorem. We first state the theorem and then give an…

Q: Given P(A) = 0.39, P(B) = 0.95, and P(B|A) = 0.07, what is P(A and B)?

A: Given :  P(A) = 0.39 P(B) = 0.95 P(B|A) = 0.07

Q: Use the union rule to answer. If n(A) = 10, n(B) = 15 and n(AB) = 8, what is n(A U B)?

A:

Q: Let A=[-5   -8]            [   7   4]   Find -4A

A: Given the given matrix is A=-5-874

Q: Q.8 Evaluate: n-l'n' Pdx=

A:

Q: If 98 +3a = 4b, what is a in terms of b?

A:

Q: 9=a(0)2+b(+c 17-a(82+ b(8)+C 18=a(18)2 +b(18)+C

A: Solve the equation to find a,b,c

Q: If n(A) = 108, n(A ∪ B) = 146, and n(A ∩ B) = 41 find n(B).

A: Please refer the attached image for complete solution.

Q: If 2 (5) = 72, then the value of n is:

A:

Q: ((6 – 9) - 3) + ((-8) +(-1) + 6)

A:

Q: n(A) = 104, n(A ∪ B) = 144, and n(A ∩ B) = 45, find n(B).

A: The following information has been given: n(A) = 104, n(A ∪ B) = 144,  n(A ∩ B) = 45 We need to…

Q: If P(A) = 0.35, P(B) = 0.45, and P(A and B) = 0.25, then P(A|B) is:     1.4     1.8     0.714…

A: P(A)=0.35 P(B)=0.45 P(A and B)=0.25   P(A/B)=P(A and B)P(A)=0.250.35=0.714

Q: Given P (A and B) 0 0.04, P (B) 0.64, P (B|A) 0.87, what is P (A)?

A: Conditional probability:The conditional probability describes that the probability of an event B…

Q: Given P(A) = 0.01, P(B) = 0.88 , and P(B|A)=0.34 , what is P(A and B)?

A: Given: P(A)=0.01P(B)=0.88P(BA)=0.34 The objective is to find the probability of P(A∩B).

Q: If e = 25, then z =

A: Given that

Q: Suppose P(E) = 0.74, P(F) = 0.4, and P(E´∩F) = 0.49. Find P(E´∪F). Note the complement symbols.…

A:

Q: If  n(A) = 109, n(A ∪ B) = 160, and n(A ∩ B) = 42, find n(B).

A:

Q: the answer is cropped out.

A: The variable x denotes the number of accidents daily.

Q: Class (Price in R) Number of cars sold 100 000 - 149 999 5 150 000 - 199 999 15 200 000 - 249 999 18…

A: Solution: 9. The given table of data is

Q: Use the union rule to answer the question. If n(A n B) = 8, n(A U B) = 34 and n(A) = 32, what is…

A: We know,      n(A U B) = n(A) + n(B) - n(A ∩ B)      => n(B) = n(A U B) + n(A ∩ B) - n(A)

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.