Question

In: Statistics and Probability

(6ptseach)Let A={a,b,c},B={b,c,d},C ={b,c,e}. (a) Explicitly find (i) A∪(B∩C), (ii)(A∪B)∩C, and (iii)(A∪B)∩(A∪C). (iv)Which of these sets are...

(6ptseach)Let A={a,b,c},B={b,c,d},C ={b,c,e}.

(a) Explicitly find (i) A∪(B∩C), (ii)(A∪B)∩C, and (iii)(A∪B)∩(A∪C). (iv)Which of these sets are equal?

(b) Explicitly find (i) A∩(B∪C), (ii)(A∩B)∪C, and (iii)(A∩B)∪(A∩C). (iv)Which of these sets are equal?

(c) Explicitly find (i)(A−B)−C and (ii) A−(B−C). (iii)Are these sets equal?

Solutions

Expert Solution


Related Solutions

8. Use the following table to answer questions I, ii, iii and iv A B C...
8. Use the following table to answer questions I, ii, iii and iv A B C Initial cost $15,000 $9,000 $12,000 Annual benefit $8,000 $2,000 $1,800 Salvage value $5,000 $9,000 0 Life in years 2 years 3 Years Infinity MARR 10% i. The NPW of alt. A is __________________. A) $13,420 B) $17,380 C) $11,000 D) $6,00 ii. The NPW of alt. B is __________________. A) $13,420 B) $17,380 C) $11,000 D) $6,000 iii. The NPW of alt. C is...
Can you show me how to do questions d, i, ii, iii and iv .   ...
Can you show me how to do questions d, i, ii, iii and iv .    You have following liability: 29-year bond, 6.5% annual coupon, market interest rate is 5%. a.   What is the present value of this liability?   PV = 1227.12 b.   What is the duration of this liability?    Duration = 15.12 d.   You want to consider immunizing the liability using 8-year and 30- year zero coupon-bonds. i.   What are the investment weights needed for the two bonds? ii.  ...
Suppose that D and E are sets, and D ⊆ E. Let A = P(E). Recall...
Suppose that D and E are sets, and D ⊆ E. Let A = P(E). Recall that P(E) denotes the set of all subsets of E. Define a relation R on A by R = {(X, Y) ∈ A × A: [(X − Y) ∪ (Y − X)] ⊆ D}. So, XRY if and only if [(X−Y) ∪ (Y −X)] ⊆ D. Prove that R is an equivalence relation on A.
Let A = {a, b, c, d} and B = {b, d, e}. Write out all...
Let A = {a, b, c, d} and B = {b, d, e}. Write out all of the elements of the following sets. (a) B ∩ ∅ (b) A ∪ B (c) (A ∩ B) × B (d) P(A\B) (e) {X ∈ P(A) | |X| ≤ 3}
Consider the cross: A/a; b/b; C/c; D/d; E/e x A/a; B/b; c/c; D/d; e/e a) what...
Consider the cross: A/a; b/b; C/c; D/d; E/e x A/a; B/b; c/c; D/d; e/e a) what proportion of the progeny will phenotypically resemble the first parent? b) what proportion of the progeny will genotypically resemble neither parent?
2014 I 31 2017 I 69 II 24 II 54 III 23 III 46 IV 16...
2014 I 31 2017 I 69 II 24 II 54 III 23 III 46 IV 16 IV 32 2015 I 42 2018 I 82 II 35 II 66 III 30 III 51 IV 23 IV 38 2016 I 53 2019 I 91 II 45 II 72 III 39 III 59 IV 27 IV 41 Create a multiple regression equation incorporating both a trend (t=0 in 2013: IV) and dummy variables for the quarters. Let the first quarter represent the reference...
2014 I 31 2017 I 69 II 24 II 54 III 23 III 46 IV 16...
2014 I 31 2017 I 69 II 24 II 54 III 23 III 46 IV 16 IV 32 2015 I 42 2018 I 82 II 35 II 66 III 30 III 51 IV 23 IV 38 2016 I 53 2019 I 91 II 45 II 72 III 39 III 59 IV 27 IV 41 Create a multiple regression equation incorporating both a trend (t=0 in 2013: IV) and dummy variables for the quarters. Let the first quarter represent the reference...
Please show me how to complete questions d,i, ii, iii and iv. e.f You have following...
Please show me how to complete questions d,i, ii, iii and iv. e.f You have following liability: 29-year bond, 6.5% annual coupon, market interest rate is 5%. The Ppresent value of this liability?   PV = 1227.12 The duration of this liability?    Duration = 15.12 d.   You want to consider immunizing the liability using 8-year and 30- year zero coupon-bonds. i.   What are the investment weights needed for the two bonds? ii.   What are the present values of the two bonds...
Describe the insertion of type I, II, III and IV into the ER membrane? Differences?
Describe the insertion of type I, II, III and IV into the ER membrane? Differences?
Astronomy question. Which star is coolest? a. M8 V b. K1 I c. A7 III d....
Astronomy question. Which star is coolest? a. M8 V b. K1 I c. A7 III d. B3 V
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT