5. X = {a, b, c}. Give each of the following sets in roster notation. (a) {A: A E P(X) and |A| > 2} (b) {А: А€ Р(X) and c £ A}

Q: Find IR| where R is the relation on the set A = {1,2,-,100} given by R= {(a,b)| azb+30} Select one:…

A:

Q: .If X&Y are independent R.V's,what are the values of Var(X₁+X₂)and Var(X₁-X₂)

A: Solution X1 and X2 are independent random variables then Cov(X1,X2)= Then Var(X1+X2)=Var(X1)+Var(X2)

Q: Compute each of the following. b. (3)* d. (-3). f. (1)** a. (- 10) - (" 10)° C. 50 147 e. g. 4+3 5-2…

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: If A= 2 1, then the Accompanying worker for o 41 1. (a,) 2. (a) 3. (a,,) 4. (a) A. -4 B. -12 C. -1…

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Q: Graph the following relation {(−2, y)| − 3 < y ≤ 4}

A: Explanation of the answer is as follows

Q: et f = xi+ yj + zk and g = |f|. Then Ve9 =

A:

Q: If P (A)=0.6, P (B)=0.1, and A and B are mutually exclusive, find P (A or B).

A:

Q: Let A = {x € Rx > 5 and x 15 and x 8 and x < 12

A: Given:- A=x∈R|x≥5 and x&lt;18 B=x∈R|x≥15 and x≤22 C=x∈R|x&gt;8 and x&lt;12

Q: If (f +g) € R[a, b] , then (f.9) € R(a, b] (f - 9) € R[a, b] E R[a, b] none of these

A:

Q: A. Scatterplot 1, r= 1; Scatterplot 2, r = 0.802, Scatterplot 3, r=-0.802, Scatterplot 4, r =…

A: Given correlation coefficient for the following given scatter plot ri= -0.424,0.424,1 ,-0.802, 0.802…

Q: Let A = {2, y, 6} and B = {x, 4, z}. which of the following are relation from B into A O a. R = {(2,…

A: We have to find that relation

Q: Consider the values a = 1, b = 1, e = 1 eb = 1, In(a) = 1, and In(b) = 1. Rank the following…

A:

Q: (e) Given the sets A = {-5, –3,0, 1, 5} and B = {-4, –3,0, 1, 5, 6}. Find AN B. (A) {-5, –4, –3, 0,…

A: We have to find out the intersection part

Q: Compute |A| for the following:

A: We have to compute A for the following given matrix: A=210121012 We know to determine the…

Q: Choose the correct Sympy expression to cal Select one: a. diff(f, x, x) b. deriv(f,x) c. diff(f, x)…

A: 1).   To compute this definite integral, pass this argument &gt;&gt; Integrate ( f, (x, 0, π/3))…

Q: A. Describe the error in the following: a. 5 is a subset of N b. x>1 and x 1<4 c. Given the function…

A: A. a. ) 5 is not a subset of N, its an element of N. It should be written as {5} is a subset of N.…

Q: 4. Make a table of values for each relation. Use the table to determine if the relation is…

A:

Q: . Use a calculator or a spreadsheet to find f 1q2 for thevalues of q given in the following table.

A: To find the value of f(q) when q is given. Given, f(q) =3q2-5q+8 To find the value of  f(q) when q…

Q: a. The total cost of 11 pencils and 3 erasers is $64 and the total cost of 8 pencils and 3 erasers…

A: Given that  The total cost of 11 pencils and 3 erasers is $64 The total cost of 8 pencils and 3…

Q: 6. For A, B, subscts of R, define A+B= {a+b:a€ A, bE B} and A B= (ab:a € A,bE B} (a) For A=…

A:

Q: 3 I- 0) = [u- w -3 [-1 4] 6.

A: We will solve it in parts Consider 0-1453-101-1 = (0)(5)+(-1)(-1)+(4)(1)    (0)(3)+(-1)(0)+(4)(-1)=…

Q: Compute |A| for the following:

A: Given, we have to find the determinant of A

Q: (d) The third quartile for X 提交答案| Tries 0/5 (e) the IQR for X 提交答案| Tries 0/5 (f) P(IX-216|> 41)

A: Given : Let X be a r.v X~N(216 , 18) Here ; μ=216 σ=18

Q: Refer to B={ ={₁0, -6, 0.23, 3, -1.7, √7}. Determine which elements belong to the given set.…

A:

Q: 5. Which one of the following equals |(1+ 2x²)e*´dx? a(*+( A. 2 ,3 3 O B. xe*“ C. e ( ? ) =* + z 2…

A:

Q: Let v = (5, 1, 2) and w = (4, –3, 6). Find each of the following: v+ w, v– 3w, || v||, || v – w ||

A: Solution: The objective is to find the required values

Q: If A is m x n and B is n x m and AB I then the rank of A is

A:

Q: 2. Let T=

A: Given that, T=22-1-163201 We have to find adjoint T.

Q: From a crushed quartz sample, the fraction less than 5mm must be removed by screening. The feed…

A: The objective of this question is to determine the efficiency of the screen used to separate the…

Q: If X-B(x; 10, 0.25), which of the following is P(2<Xs4), approximately? Lütfen birini seçin: a.…

A: From the provided information, Number of trials (n) = 10 Probability of success (p) = 0.25 The…

Q: 4. (a) Given the digraph G = (V, E) below, list out V and E. V₁ JS Ju (b) Given the digraph G = (V,…

A:

Q: 4. Which of the following set represents functions? * O A=((2,5),(1,0),(3,1),((4,2)}…

A: We first find which of the the given set represents a function.

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.