Use the venn diagram to answer these questions:  (a)    P(EC ∩ F | F) (b)    P(E ∩ FC | F)

Q: Given the following diagram sketch u-v

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Q: (a) By drawing a suitable Venn diagram, carefully explain why AUB= ANB %3D

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Q: (BUA)NC

A: B∪A∩C' In this B∪A represents all the portions icluding A and B.  So, the venn diagram can be drawn…

Q: Use a Venn diagram to answer. If n(A) = 7, n(B) = 12 and n(An B) = 4, what is n(AUB)? n(AUB) =

A: Given query is to find the value of the expression.

Q: 10. Let A, B, and C be sets. Use the identities to show that (A U B) n (B U C) n (A U C) = Ā n Bn T.

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Q: -8. a. Show that if A and B are independent, then P(A|B) = P(A). b. Say we have sets A, B, and C (do…

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Q: Ex 3.7.1 Construct the correspondences between the indicated sets. a) Z10 and Z2 × Zg b) Z15 and Z3…

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Q: 1. Solve the following problems below: let U = {a, b, c, d, e, f, g, h, k} A = {a, b, c, g} B = {d,…

A: We have given that  let U= {a, b, c, d, e, f, g, h, k} A = {a, b, c, g} B = {d, e, f, g} C = {a, c,…

Q: Which of the following are discrete types of variables i) Your telephone number ii) Your id number…

A: Variables are related to numeric values. In the variables, there are two types, they are discrete…

Q: Suppose n(A) = 16, n(B) = 29, and n(A U B) = 36. Use a Venn diagram to find n(An B). A B

A: We have, nA = 16nB = 29nA∪B = 36 To determine: The value of nA∩B. Formula Used: nA∪B = nA+nB-nA∩B.

Q: Construct a scatterplot for the given data. 9|-20 |-11 x 15-14 -18 12) y l-96 25 45 -42 92 5.

A: A scatter diagram is a graphical representation of the quantitative data in which two sets of data…

Q: Draw a Venn diagram that represents (S ∪ T) − (S ∩ T).

A:

Q: B D a Set A e (AUB) U{d}=A (A/B) n (B/A) = {} (B/A) U{a,b,c} = B A\(ANB) = {e,f} e Set B to d

A: Explaination of the answer is as follows

Q: Y: The set of yellow pieces H: The set of hexagonal pieces L: The set of large pieces B: The set of…

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Q: Let S = (a, b, c, d, e, f with P(b) = 0.16, P(c) = 0.12, P(d) = 0.29, P(e) = 0.22, and P(f) = 0.11.…

A: Given S = { a, b, c, d , e , f } P( b ) = 0.16P( c ) = 0.12 P( d ) = 0.29 P( e ) = 0.22 P( f ) =…

Q: What can we measure about the four objects listed below? Be as specific as possible. a.)…

A: Basic: Measurement is process of assigning numbers to the empirical objects or events based on the…

Q: Draw a sketch of the following subsets of R²: V. [1,2] × [1,3]. vi. Uke{1,2,3)([k, k +1] × [k, k +…

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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: Let S = {a, b, c, d, e, f} with P(b) = 0.21, P(c) = 0.25, P(d) = 0.2, P(e) = 0.1, and P(f) = 0.11.…

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Q: 2. Determine whether the set S = spans M22-

A: Let A=1ab0, B=a01c, C=0ca1 and D=b1ac. Substitute a =6, b =5 and c =1 in above matrices. A=1650,…

Q: (ANB) u (An B²)

A: Solution-:We draw a venn diagram of

Q: Given the following graphs of f and g, find (go f)(3). f

A: Topic - functions

Q: Suppose that P ( A ) = 0.4,  P ( B ) = 0.5 and A , B are disjoint. Compute P ( A c ∪ B c ) .

A: From the provided information, P (A) = 0.4, P (B) = 0.5 The events A and B are disjoint.

Q: If P(G) = 0.2, P(H) = 0.3, and G and H are mutually exclusive, find P(G and H). 1) 0.06 2) 0.08 3)…

A: G and H are mutually exclusive eventP(G)=0.2, P(H)=0.3

Q: Let S = {a, b, c, d, e, f} with P(b) = 0.15, P(c) = 0.16, P(d) = 0.17, P(e) = 0.23, and P(f) = 0.18.…

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