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Q: 2. (i) Show that for a discrete dis.ribution B2> 1. (ii) Show that B2> B1

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Q: If (x, y)= x²y+e* , find; d. y е. b. $, с. Ф Q.4 (1)

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Q: 5. If u = e1#1+az#2++anIn, where a² + a³ + · ·..+ a = 1, show %3D + = U dx?

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Q: If X1, X2,. . . ., X, ~ N(22, o²) and S 4, then P(X < 23.863) %3D Select one: O a. 0.975 O b. 0.99 O…

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Q: 1. Show that S, has the presentation (x, y|x² = y = (xy)² = 1). %3D

A: The symmetric group S3 is given as S3=I, 1 2, 1 3, 2 3, 1 2 3 1 3 2 where  I=123123, 1 2=123213, 1…

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: Find S,(4 – |x + 1|)dx. Draw a picture! 5.

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Q: dy 4. a2+ y? = ry (Bernoulli DE) dx

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Q: التاريخ Re.v. 1000 o12* 007 1.002*10-3 Res O Re= ぐつ piv.D 1000n014 xo027 7.002*103 Re= Res.V.D

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Q: For which value of x is p = (1,0, x) orthogonal to ā q = (10,3, –2 )? %3D 5.

A: Solution:- step:1      ∗vectors are  orthogonal if the dot product of the  two vector          is…

Q: 2. Thirty percent of Lew studenta whe sit For u ber examinetion it the Pirst time - Using the Binəm…

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Q: Evaluate SS 5ex+y+" dV over B where B = {(x, y, z) : x² + + z² < 1}. Take = 3.

A: The integrals in the form ∭f(x,y,z)dV is called a triple integral. In this problem, we have to…

Q: 5. Evaluate. |2x – 4| dx -

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Q: Fxample e (2)8 fond the eign valve b. usung domimant value y using Raleigh Quolient method of f the…

A: Given: B=41002100-1

Q: Q5.Given that W = f(x.y.z)% x+2y+, find : aw aw in terms of s and r, if and x=, y=r +Ins, =2rr.

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Q: Show that 1 – R1.23 = (1 – r12²) (1 – r13,22 ) Deduce that (i) R, 23 2r,2, (ii) R? = r12² + r13², if…

A: Answer: For the given data,

Q: Which condition would prove AJKL ~ AXYZ?

A: Here we have to find the ratio between two sides such that the given 2 triangles will become…

Q: Let X ={li2,3,4,53 Determime the tnith valve Of each of the pioparitons. %3D a) (bx EX)x + x? <3Q t.

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Q: Which of the following statements is always true (select all that apply)? Р (AUB) — P(A) + Р (В) Р…

A: The probability of an event is the chance of occurrence of that event.

Q: Sub. sefve the intetal equation UL) = (X-1)e-< +4/ e

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Q: If X is a RV with p.d.f f(x) = in of Y=2X-3. 2 1 in 1<x<5 and =0, otherwise. Find the p.d.f

A: Probability value for the random variable for distinct random variable is denoted using the…

Q: Evaluate. S2 (1+*)*dx=] (Type an exact answer.)

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Q: 3-18. Consider the two-link planar robot shown in Fig. P3.18. Figure P3.18 A two-link planar robot…

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Q: much money, shodrmed ha ldag ipipaements How aSypose a hospital, w,ll need $25,000 at an gnnyal…

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Q: IF f (x,y) fo FIMD fxx

A: We have to find partial derivative of f(x,y).

Q: 1. Let s = (001 001 001...) t = (01 01 01...) r = (10 10 10...). %3D Compute: a. d[s, t] b. d[t, r]…

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Q: Q1. Given B = {v1 = (0, 1, 1, 1), v2 = (2, 1, –1, –1), v3 = (1,4, –1,2), v4 = (6,9, 4, 2)} B' = {wi…

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Q: please include let u du substitutions

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Q: 4 GuNeer that K 9 laJ ) ficed fle xale of K 2 5,

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Q: suppose that X~N (2, oʻ), AP (2<X<4) =0.3, then P(X<0)= A.0.3 B.0.2 C.0.8 D.0.1

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Q: 7. Evaluate the following. 2 erty? + 29)dy dz A. 30 5.4 B. C. 2.3 D. 4.9

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Q: F 6) Frud the weasuves of all six augles of hexaqou MCA= 2X+ら ABz X-10 WCC =X+5 TucD=x u CE = x+1S…

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Q: x 3 = 3 %3D 2 x (3 x 6) - ( × C x 3) %! 7 x 0 = 0 %3D 4 x 9 X 4 %3D

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Q: Let C: |z-i=3 and I = §. dz 2z dz. Then %3D

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Q: 12. f(x, y) = x = 1, 2,... ve y = 1, 2, .... olsun. wwww P(X<3)=? a. 3/16 b. 5/16 C. 1/16 d. 3/4 e.…

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Q: Given that AB || DE , what is the ratio of the area of triangle CDE to the area of triangle CBA?…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.