The variahle x takes only two values x, and x, with frequencies f, and f. If s be the S.D. of x, show that fi + f;

Q: A coin is tossed three times. Let X be the number of heads that turn up. Find V (X).

A: Given:A coin is tossed three times.X be the number of heads that turn up.

Q: Let X and Y be independent, and let X be N(10, 1) and Y be N(11, 1). PIX >Y),

A: From the given information, X and Y are independent random variables. Let X be a N(10, 1) variable…

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: Let f(x)= Vx+ yx +Vx. Find f'(36) to the nearest tenth. Oa. 0.1 O b. 0.2 Oc. 0.3 Od. 0.4 O e. 0.5

A: Step 2 complete solution

Q: Let X be a r.v. with p.d. f. ,x = 1,2,3, ... f(x): e.w. The value of a is: N I3

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Q: t(x, y) x² + y?

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Q: 4.Use Lagrang interpolation method to find f(1) based on the following data: a -3 2-1 3 ソ=fx)||1 2 4…

A: 4 Consider the given table x−32−13y=fx1248 Use the Lagrange's interpolation method we will find the…

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

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Q: A. Find the domain and range of f,g,f +g,and f · g following: of the 2. f(x) = vx +1; g(x) = Vx – 1

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Q: Let v = [1] and let z = [¹] x The Projx is equal to k k [21] where

A: Our objective is given below:

Q: The Range of y = [2x + 1] is Z, T O F

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Q: ("PanV (qA"r) T T T T T F F F T. TFT T. F PLEASE FOLLOW THE FORMAT/TABLE GIVEN

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Q: 18&19

A: 18) given that fx=x2, gx=x+6find gf019)given that fx=x2 and gx=12x+3find gf-1

Q: Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine…

A: It is given that, Z is standard normal variable and P(-c≤Z≤c) = 0.9146

Q: Let G = S4 and H = D4. Write down the distinct right cosets

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Q: 2.,3 2) Find fx and fy if f(x, y) = 2x²y³ – 3xy² + 2x² + 3y² + 1

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Q: 31. Letf(x) = [x²/3]. Find f(S) if a) S = (-2,-1, 0, 1, 2, 3). b) S = {0, 1, 2, 3, 4, 5). c) S = {1,…

A: 31. Given the function is                            f(x)=x23.

Q: a. What is p(t)=  b.By using the function from part a, what is the answer in integer ?

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Q: Let U = N, A = {1, 3, 5}, B = {x : x² - 6x + 5 = 0}, and D = {x:x>5}. Find a. D' b. D-A c. P(A)

A: Note:-Since you asked multiple subparts,according to our policy we can solve only first three sub…

Q: 3. Which function has a range of yS 3? Ax) -- +3 с. a.

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Q: Let X ∼ N ( 1 , 4 ) and Y ∼ N ( 2 , 9 )be independent and let W = X2 +2Y + 3. Then what is the mean…

A: Given, Therefore,

Q: 2 S- 2 V4+x

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Q: let w- f(xy) and y in Poluy Cordeinate then a+yS %3D or or or 7.

A: Given that, w=fx, y And x and y is in polar form that is, x=rcosθy=rsinθ

Q: Let D = {-2, -1, 0, 1}. Let E = {0, 1, 2, 3}.

A: Answer

Q: Let A = PDP-1 and P and D as shown below. Compute A4. P= 2 -3 5 -3 D= 10 1 2 0

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Q: Which of the following is not a function of x? Vx-4 a b x* +y = 4 C xy = 1 x² +y? = 1 d. %3D y = |x|…

A: Solution Y is a function of X if we can find it uniquely by x.

Q: 2. Let A = and B = al. Show that det(A + B) = det A + det B if and only if a + d = 0.

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Q: The number of units in z,,[x] is None 30 28 22

A: See solution below

Q: If the P-value is less than the a value, which one is correct? Reject Ho or fail to reject Ho Ans:

A: if the P-value is less than the α value ,than

Q: 3. A personal trainer claims that their exercise programme will lead to a re- duction in weight. The…

A: In order to determine whether the trainer's claim is valid or not, conduct a paired mean difference…

Q: 14. Determine y = 3x EDI DITED Ee, if any, the tangent line t EDBYS BY JO JOHN OHN GI) = 2x³ – NGIL…

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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: [t was wrong

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