Let A and B be finite sets satisfying | A| = 9,|B| = 6 and | A n B = 2. %3D %D Calculate the following: ()= |A| %3D 3 |AU B| = The number of proper subsets of B is (S:SCA, IS| = 6 and Sn B = Ø} = %3D

Q: Given X~ N(20,16), find c. P( 19 < X<23) (4 decimal place)

A: X~N(20,16) Mean(μ)=20 Variance(σ2)=16 standard deviation(σ)=16=4

Q: (e) Let A = {1,2, (3,4,5)), B=(2, 3, 4, 5, 6, 7). Find i. An B. A x B. P(AB), where P(X) is the…

A: According to the Bartleby guidelines I am answering only one first 3 parts.   We are given…

Q: Find z given that P(.24 <Z <z) = .12

A:

Q: 3. Consider A = {m, a, t, h} B = {s,t,e,m} a. What is A 0 B? C = {x:x = 3n, 1 < n < 4,n E N} D =…

A:

Q: If P(- b &lt; z &lt; b) = 0.4726, find b. b=

A:

Q: FL Let b > 0, b 1. Which of the following must be true if y = Check all that apply. hip O = b* In(b)…

A: no need of explanation as it is itself a formula

Q: 1 In the relation . If R, =1 and %3D R R R, R,%3D3, find R.

A:

Q: what is M<E

A: Solution-As the solution is given,

Q: O Let X,X. X3 beasamPle of size n=3From the Bernolli Pmf Assune Ti ヒ(X、メ,メ) X、+メz+Xg and こ I= X,X t…

A: Using the Neymann factorisation theorem we can find out the sufficient statistic.

Q: Let X - N(45, o = 6) , then %3D P(X < 52.5) = Select one: O a. 0.8925 O b. 0.1056 O c. 0. 8944 O d.…

A:

Q: 3. Consider the set f = {(x,y) E Z × Z|3x + y = 4}. Is this a function from Z x Z.

A: We need to determine if the given function f=x,y∈ℤ×ℤ3x+y=4 is from ℤ×ℤ Now, 3x+y=4 This means,…

Q: Find the value of x. Round each answer to the nearest tenth of a unit. 10. 3. 27 18° 580 yd 2 km

A: Here to find the value of x.

Q: M&Ms tries to maintain a certain percentage of each color in a bag of M&Ms because they believe that…

A:

Q: 9!+8! 2. 4!3! 10!(12!) 3. 10!-8! 9! %3D %3D 1. %3D 3!3! Р (10,2) 5. P(7,3) Р (20,3). Р(3,4) 6.…

A: P(n,r)=n!n-r!

Q: 24. Change the following Miller indices: (210), (1 13), (011), (246) and (4 23) into Miller-Bravais…

A: Miller Bravais uses four index system. 1) hkl = ( 210) i = -(h+k) i = -(2+1) =-3 hkil = (21-30)

Q: P 1) a) Find the value of zo such that P(Z > %o) = 0.5. ERN b) Find the value of zo such that P(Z…

A: (a) P(Z&gt;Zo)=0.5(b)P(Z &lt;Zo)=0.8643(c)P(−Zo &lt;Z &lt;Zo)=0.90

Q: (2) ylabäi For the function below ... the range * ?is (x + 1)3 y = (x² – 1) RO R/{3,-4} O R/{3,-3} O…

A: Given y = [(x+1)³] / [x²-1]    ---------(1) now we set  the denominator in (1) equal to 0 , to find…

Q: 1. Why is it important to recognize the converse and the con- trapositive of a conditional…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: -10 If AXT = B, then X= Let A = %3D 0 2

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Q: O Is the set S=\[1.2], [-4 2. abaris for R?.

A: We know dimension of ℝ2  is 2  this implies basis of ℝ2 contains two linearly independent vectors.…

Q: Using Eq. 8.1.2 together with the values of D, and D2, we can evaluate D, for // in principle any…

A: Since I have solved similar ones, Let us start finding the pattern.....     The values of D1, D2…

Q: |Use the tree defined above to give the subtree rooted at head. Answer:

A: The set of all nodes underneath a particular node x is called the subtree rooted at x.

Q: 4. Find an upper and a lower bound for the set E= x +1 : -1 < x2 +1

A: Given: E=x+1x2+1:-1&lt;x≤2

Q: 1. Consider the following intervals on R: A = (0,1); B = (1,2); and C = [2,3). For each pair of…

A:

Q: 4.3.15 Generate i.i.d. X1, X2, ..., X, distributed N(-4, 3) with n large (take n = 10° if possible).…

A: Consider the given information:Consider the i.i.d variables X1, X2, X3 distributed with mean -4…

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A: ( i )  a - (b • c) = ( a - b ) • (a - c )  fo all a , b , c belongs to real number R   We show that…

Q: B. Evaluate the following. 9!+8! 2. 4!3! 10!(12!) 3. 10!-8! %3D %3D 1. 3!3! 16 %3D

A: Given that  1) 9!/(3!3!) 2) (9!+8!)/(4!3!) 3) (10!12!)/(10!-8!) Note: According to bartleby experts…

Q: (b) Let k E Z. Show that {x E Z | x divides k}C {y €Z ] y divides k2}. (c) Show that the set {x E N…

A: The answers are in the next steps.

Q: Isd (m, n) = 1 and p|m then gcd (n, p) = 1 %3D

A: god(m, n) = 1 , and p/m.

Q: If ||v|| = 2 and ||w|| = 1: What is the smallest possible value of ||vw||? What is the largest…

A: Step 1:Step 2:Step 3:

Q: 61 and B 3. 23) If A = = , find X when 2A = B – 3X. 71

A: we have to find X

Q: Find the general solution to the homogeneous system of DE: -11 41 x' = Ax where A = l: -26 Hint:…

A:

Q: Hw.3 Find the aveas for the Following regions: - Region bounded by 2- Region bounded by and ッニメ+2…

A:

Q: Q#4: a) Evaluate f (x +2y)dx+ (y – 2x)dy along the ellipse C defined by x = 4 cos 0, y = 3 sin 0…

A:

Q: Let N = {a,b, c, d}, F = 2ª and P({w}) = ¿ for w ɛ N. Define %3D if w = a, d -1 if w = b 1 if w = c…

A: Given:  The given details are, Let's take Ω={a,b,c,d}. F=2Ω and ℙw=14 for w ∈ Ω.

Q: Given w = (xỉ + x3 + ... + x%)*, for n > 2. Then for what values of k, the following relation holds:…

A: Given that w=x12+x22+x32+x42+..+xn2k for n≥2. Take the derivative with respect to x1,…