Let A = {1,{2,3}}. Find P(A), n(A) and n (P(A)).

Q: Q2/ Fin x in the

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Q: Q2/Let X-N(4,9). Find (a) P(1 2). (c) P(|X-21 >5)

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Q: Let X - N(2, 4). Calculate P[X2 – 4X < 4].

A: P(X2-4X≤4)=0.7602

Q: Sotve (D + 1) y = 0, t> 0, ify=yo when t= 0

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Q: let X1, X2, ..... XN Find UMVUE for 0² N(0,1) 0 € (-∞0,00)

A: Dear student, If you find this solution helpful please upvote ? it.

Q: a. selected student is male or from the Computing Engineering  b. selected student is female given…

A: Given two attributes, gender and Programmes as follows Gender\Programmes Computing Engineering…

Q: Let ā = and b . Find 3ā + b. -

A: We will simply use vector addition rules to find the answer

Q: Let C z-1=3 and1 = §, = dz. Then

A: The solution is given as

Q: 2.If alb and alc then al Cbx tcy) for all X>YEZ.

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Q: I have a bag containing 40 blue marbles and 60 red marbles. I choose 10 marbles (without…

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Q: Find all values of x so that u · u = 50, where

A: Given u·u=x34.

Q: Let x be the number of teachers among 3 people selected randomly from a group consisting of 3…

A: Given,no.of teachers =7no.of students=3no.of custodians=1total no.of people=11

Q: Q5 Show that EL >². n n =1

A: Consider that x is a random variable. From the formula of population variance;

Q: Find the value of t so that t 4 -4| 2 3 3=4 4 5 0

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Q: Q2/ Let X-N(4,9). Find (a) P(1 2). (c) P(|X2| >5)

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Q: Determine inf H and sup H for H = (-1, 0), H = {0, 1}U(2, 3),

A: As per the guideline i am uploading the first two. For the other two kindly resubmit the questions…

Q: P = R-C, for R %3D N

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Q: (a) Evaluate . z²e1/z where c is z = 1.

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Let _X=R². Find M² if M= {(a,1)}.

A: Given that, Let X=R2 Find M⊥ if M=a,1.

Q: n = 29, x = 2,331, x2 = 191,077, y = 2,128, y2 = 161,876, xy = 174,226 Ξ ху — η (Σxy ) -(Σx ) (Σy)…

A: Given Information: n=29∑ix=2331∑ix2=191,077∑iy=2,128∑iy2=161,876∑ixy=174,226 Correlation coefficient…

Q: Let X N(10, 23). Then P( X< 10) = %3D

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Q: q² – 1 19. Find if p= In dą

A: By means of calculating derivative of any function of a real variable we measure the…

Q: (27) Let X = P(2) and )E(5-5x) finc

A: Given X≈Pλ That is, EX=λ

Q: FinD Z 1. to #a-z°

A: Givenz=-2

Q: Show that: If |z| = 2, then: z* – z2 – 4| Re < 6 z + 6

A: A complex number z=x+iy are graphically represented as (x,y) on coordinate plane. The polar…

Q: 5,t2 %3D as t= 5, 1, = 8. Find t

A: The nth term of the Arithmetic sequence is given by tn Therefore tn=t1+n-1d where t1is the first…

Q: Find the product of x and y if x, 3/2, 6/7, y  are in G.P

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Q: n! Verify that Ex1+…+xr=n,xi20 r^n for any r, n>1 x1!x2!...xr!

A: Consider the given information. Let n is greater than equal to 1 arbitrary. Use the mathematical…

Q: a2 z a2z If z = In(x² + y²), find + 2 Əx2 ду?

A: The given function is z=ln(x2+y2).

Q: Let a = . Find Ja]. - 2, 2,1 >. Find lä].

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Q: dx Evaluate S o 9x2+4

A: Solution is given below:

Q: Let A = [0, 1] × [0, 1] C R². Suppose

A: (b) Given, A =0, 1×0, 1⊆ℝ2 and f : A → ℝ is continuous on A (relative to A)       Define F: 0, 1→ℝ…

Q: Find Re(z) if z(2 + i) = z+(16 + 20i)

A: Given that, z2+i=z¯+16+20i. The objective is to find Rez.       For any complex number z=a+ib, its…

Q: Let X = {1,2,3}. (1 2 3 ) give a) For a (3 2 give a321

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Q: If X~N(0,1) then X2~

A: In question,  Given that X~N(0,1). Then we'll find the distribution of X2. he solution is below,

Q: dat b)

A: Domain =Value of xRange = value of y a. Domain x∈-∞,∞   Range y∈-∞,∞b .Domain x∈-4,3  Range y∈2

Q: Let X=(1,0, – 1,- /2)'. Then, ||X||, = Select one: а. -V3 O . 2+V2 C. -V2

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Q: g mall, restaurant c

A: Given, in certain shopping mall, restaurant charges are  125 150 200 165 175 190 230 180

Q: J to m

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

Q: Find Re(z) if z (2+i) = z + (16+20i)

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Q: es of the matr

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Q: Eliminate the parameter t in the X=2+4tant y=7+4 sect

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Q: Let ř =xi+y+ zk, and let u= ||F|I. 2-2u = 3ue. Show thet Dflu)= 6- 6u)e" r.

A: Given, fu=3u2e-2u. We have to show that ∇fu=6-6ue-2ur→ where r→=xi^+yj^+zj^.

Q: A box has 10 pencils and 5 pens.  Select randomly 3 items from the box.  Let X be the number of…

A: There is two possibilities either the selected item is pencil or not. Binomial distribution will…

Q: If u = x1x2 + x2X3 + X3X1, then find the relative percentage error in the computation of u at x1 =…

A: In the given question we have to calculate the relative percantage error in computation of u where…

Q: Find all values of a, b, and c for which A is symmetric,

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Q: (b) Show that V n 20 > (2i +3)3' = (n+ 1)3"+1. i=0

A: To Show- Show that ∀ n ≥ 0 ∑i=0n2i + 33i = n + 13n+1.