Question 5,12,14,15,16 Exercises for Section 1.4 A. Write the following sets by listing their elements between...
Write out the following sets by listing their elements between braces. 9. {X: X ⊆ {3, 2, a} and |X| = 2}
NEXT FULL SCREEN PRINTER VERSION BACK RCES Question 20 The following function is probability mass function 1 2 1 0 2 f(x) 1/9 2/9 3/9 2/9 1/9 Determine the requested probabilities: [Give exact answers in form of fraction.] (a) P(X 2) 0 (b) P(X> 2)=0.9 (c) PC-1 Xs 1) =0.9 (d) P(Xs-1 or X = 2) = || Statistical Tables and Charts S Question 21 Verify that the following function is a probability mass function, and determine the requested probabilities....
2. Copy the given set onto your homework, and then express it either by listing the elements or writing it as a union of intervals, as appropriate. For example: • As a list of elements, Z = {... -3, -2,-1,0,1,2,3,... }. Note that Z cannot be written as a union of intervals. • As a union of intervals, {x E RIXE Z} = ...U (-2,-1) u (-1,0) (0,1) U (1,2) U.... Note that you could not list the elements of...
1. Determine if the following two-, three-, and four- dimensional sets for given pariables xy, xz, X3, X, are convex or not: x + x2 - 2x; 2 7 (b) *, - x2 +5x, s 22 (2x, + x, + x, - 5x, > 3 (c) =17 x = {0,1} Vj = 1,2,3,4 (x, , X2, X, 20 |2x + x₂
5-13 please Homework on sets 1. let the universe be the set U (1,23. .,1.0), A (147,10), B- (1,2 list the elements for the following sets. a. B'nt C-A) b. B-A c. ΒΔΑ 2. Show that A (3,2,1] and B (1,2,3) are equal 3. Show that X Ixe Rand x > 0 and x < 3j and ( 1,2) are equal. 5. Use a Ven diagram and shade the given set. (cnA)-(B-Arnc) Show that A (x| x3-2x2-x+2 O) is not...
Problem 2. For the following statements, write down whether true or false (No justification needed, and for ease of grading, please make it clear what is) (1) (a) xE (b) х€ {{x}} (c) x}€{{x}} (d) } E (2) (a) C 1,2,3 (b) E {1,2,3 (c)E P({1,2,3} (d) n0 (3) (a) 1,2,3 (b) {1,2,3} с {1, 2, 3} (c) An0 (d) AU A (4) a) ZnZ = Z (b) ZUZ 22 your answer Problem 3. List the elements of the following...
Problem 4. Determine if the following sets B1, B2, B3, B4 and Bs are open, closed, compact or connected. (You don't need to prove your findings here) a) B1 =RQ. b) We define the set B2 iteratively: C1 = [0, 1] C2 =[0,1/4] U [3/4, 1] C3 =[0,1/16] U [3/16, 4/16] U [12/16, 13/16] U [15/16, 1] Then B2 = n Cn. NEN c) B3 = U (2-7,3+"). nn +1 NEN d) f:R+R continuous and V CR closed. B4 =...
10. TRUE or FALSE: Write TRUE if the statement is always true; otherwise, write FALSE. _a. {0} c{{0}, {{0}}} _b. Ø $ ({1, 2}), the power set of {1,2} c. If5<3 then 8 is an odd integer. d. The relation R = {(a,b), (b,a)} is symmetric but not transitive on the set X = {a,b}. e. The relation {(1,2), (2,2)} is a function from A={1,2} to B={1,2,3} _f. If the equivalence relation R = {(1,1), (2,2), (3,3), (4,4), (1,3), (3,1),...
I need help with Question 1.63. Thank You!! 35 Additional Exercises for Chapter 1 1.63. List the elements of the set S = {(x, y) e Z × Z: |x|+ \y| = 3). Plot the corresponding points in the Euclidean xy- plane. 1.64. For A = {1, 2} and B 1.65. For A = {x e R: |x – 1| < 2} and B = {y e R: ly – 4| < 2), give a geometric description of the points-...
Generic set W,X and Y Section 1: Short Answer- Briefly answer each question in the space immediately below it S pts ea. Consider generic sets w, x, and y, and also A-u2-1, 6, 9). B-u,-1, 3, 6. c 3(-1.63) . eenerically. what does P(X) represent? Answer Here 2. Generically, what does / y / represent? 3. (15 pts) RE #a1: Then, generically. I y I : what value? 4. (10 pts) Let W P()3 W yl W? Work this out...