4. The life of 12 cars manufactured by two Cos. A and B are given below in ars: A: Of 14 15 18 12 18 17 19 21 19 16 B: 21 18 14 22 23 12 11 19 20 16 16 13 20 Which company will you choose to purchase a car ? Give reasons. 14

Q: Suppose, X|0~ Binom(m,0)and 0~ Beta( a,B), then E(X) is equals to, а) тав b) aß ma c) a+ B me d)

A: Given: Suppose,  Xθ~Binom(m,θ) and θ~Beta(α,β)

Q: Given P(A) = 1/3. P(B) = 1/2 and P(AU B) = 3/4. Calculate P(ACU BC %3D || O 11/12 O 1/12 O 1/6 O 5/6

A: Given, P (A) = 13  ,  P (B) = 12  ,   and  P (A∪B) = 34         To find P (Ac∪Bc) = ?

Q: 4.1 Consider the three permutations in S6: 1 2 3 4 56 4 56 2 1 1 2 3 4 5 2 4 1 T= 36 5 2345 5 24316,…

A:

Q: If u (E) =0, then E is measurable.

A:

Q: If P(A) = 0.30, P(B) = 0.40, and if A and B are independent, then P(AUB) equals %3D O a. 0.58 O b.…

A: Given that  P(A) = 0.30 , P(B) = 0.40 A and B are independent.

Q: 16) Use the given diagram to calculate P[(A U B)| C) A. 0.2500 B. 0.4127 C. 0.0848 0,25 0.02 0.01…

A:

Q: Let A and U = H. Then A2017U is equal to

A: The given matrix is A=-120-1 find A2=-120-1-120-1=1+0-2-201=1-401 therefore A2=1-401 similarly…

Q: Let Y - Wei(2,2) Compute V(Y). O 3.1416 O .8584 (answer) O -2.1416 O 4.1416 Let Y ~ W ei(2, 2)…

A: The variance is calculated as follows:

Q: Let  A = (1 1 1, 1 2 2) Find R(A), R(AT), and N(A)

A: Given,A=111122the reduced row echelon form of AMake zeros in column 1 except the entry at row 1,…

Q: Let 2E An and BE Sn show that Hhen Baß'E An.

A:

Q: If OE = OF, then AB 2 CD. %3D

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Q: A, where OU Find det(A), adj A and A =

A:

Q: Suppose, X-Binom(m.0) and 8- Beta (a, B), then E(X) is equals to, b) d) maß aß ma α+ B me Answer B €…

A: Given: X|θ~Binom(m, θ) And θ~Beta(α, β) Formula Used: X~B(n, p) E(X) = np To Find: E(X) = ?

Q: 3. A Gve reasom B Fig. 22.14 Circle In Fig. 22.14, ABD = 35°. Evaluate: (a) AĈD (b) AI O State…

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Q: Prove that A CB P(A) C P(B).

A: We have to prove that

Q: az + b If T(z) cz + d a, b, c, d e R. Show that T(RU{∞}) = RU {∞} if and only if exist

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Q: 1. Prove the following in SDE. P+ Q, Q→ R, R→ S - P –→ (R A S)

A: When we infer a conclusion from a given premises in order to produce an argument, we use laws of…

Q: Let RA) = 0.50, PBA) = 0.30, and P(BIA = 0.30. Compute P(B). Multiple Choice 0.075 0.15 0.10 0.30

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Q: Let X={a,b,c} and S={a,b} then sigma engereted by S ??? Sigma(S)??

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Q: Show that if AB = I, then det(A) 0 and det(B) # 0.

A: Here given as AB=In find determinant both sides detAB=detIndetAB=1

Q: 33. a. Show that for the Sheffer stroke |, PAQ = (P|Q)|(P|Q). b. Use the results of Example 2.4.7…

A: The Sheffer Stroke function | is defined as, P|Q=~P∧Q To prove- P∧Q≡(P|Q)|(P|Q) Taking  the R.H.S…

Q: 5. 99 a) suppose aj = 8 * 3' , what is E2, a; b)suppose aj =4n + 11 , what is E}09 a; j=1

A: Use sum of arithmetic progression and geometric progression

Q: @S. Let fGJ = 12 Find fla)=

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Q: 1)Given P (A) = 0.25 and P (AU B)= 0.50. What must P (B) be if A and B are to be independent?

A: As per guideline expert have to answer first question only.

Q: Find the singe value of the following with- aut expones (-4 11. T 4 12. 2. 100 + 10 2 13. 3. 4(6)…

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Q: Prove that (S ⋂ T)c = Sc ⋃ Tc and  (S  ⋃ T)c = Sc ⋂ Tc .

A:

Q: 2) Find VH if DH=1 U H G

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Q: Compute Au, where A Au = = 1 (56) 4 and u= (9).

A: The simple matrix product..

Q: If P(A) = 0.45, P(B) = 0.40, and if A and B are independent, then P(AUB) equals O a. 0.18 O b. 0.67…

A: Given,A and B are independent eventsP(A)=0.45P(B)=0.40P(A∪B)=?

Q: You are given P(A U B) = 0.8 and %3D .P (A U Bº) = 0.9 %3D Calculate P(A) 0.7 0.2 0.1 0.3

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Q: Given a || band 25 is supplementary to 2. m. %23 Prove l || m 5

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Q: 6. Write.a.ct)..in. thefarm..aa.Tt a. N a. r(t).= (tcust).i+ (tsint).j.+tk. tao. ......

A: Given

Q: 22 z) dz Evaluate COS 32/65 e^(2z) cos(z/4) + 4/65 e(^2z) sin(z/4) + c 32/65 e^(2z) sin(z/4) + 4/65…

A:

Q: If g(a) = a°(exin²a+eoa²a), then gʻ(a) is: atcos.

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Q: B E D Suppose AB= AE. Can you use the SSS Postulate or the SAS Postulate to prove AABC = AAED?

A:

Q: Let A € M₂, (C). Then, for a E o(A), GEO.MUL(A) ≤ ALG.MUL₁(A).

A:

Q: There are two food carts serving food at a local park. At any given time, Let A denote the number of…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Which of the following is equal to C(200, 50) C(150, 50) О С(200,100) O C(200, 150) O C(150,100)

A: The formula for C(n,r) is evaluated as C(n,r) =n!n-r!·r! C200,50 = 200!200-50!·50! = 200!150!·50!

Q: Let T, >0 be given. S

A: Given,                      Tt=KTxx, 0<x<L, t>0,                   ...(1)        T(0, t)=0,…

Q: 24sin(t)cos(t)=16sin(t)24sin(t)cos(t)=16sin(t)

A:

Q: Let P(A) = 0.4 "and " P(AU B) = 0.6. For what value of P(B) are A "and " B are independent?

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Q: 1 Evaluate e" cos 2z z dz COS 4 32/65 e^(2z) cos(z/4) - 4/65 e(^2z) sin(z/4) + c O 32/65 er(2z)…

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

Q: If we know P(X = i) = 2/3n2 , i = 1, 2, ..., 6 then E(X) would be?

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Q: 13 13.150lve the sys Jordan elin 2x

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Q: QUESTION 3 Prove: ( N A = U A°. a EA Attach File Browse Local Files

A:

Q: 1. Given a deck of 30 cards labelled with numbers 1- 10 (with 3 cards of each number), how many…

A: From the given information,  A deck of 30 cards labelled with numbers 1-10 (with 3 cards of each…

Q: Theorem 8.13. Let 0 <q <p<. Iffe L'OL", then fe l' rall q<r<p.

A: It is given that  0 &lt; q &lt; p &lt; ∞  and if f ∈ Lp∩Lq then we have to show that  f ∈ Lr  ∀  q…

Q: bond, is as shown below, Find * (P(0.4s ts6 0, 1/28, 4/28, 6/28, 7/28, 8/28, 1, 0 <t<1 1<t< 3 3 <t<…

A: We have given that the cumulative distribution function of T, the number of years to maturity for a…

Q: Hw/O Find Adi A if A. O kind Adj A il A=

A: (1). The given matrix is:  A=521  314  463