(a) Define the concept of convergence in distribution for a sequence of random variables. (b) Let X1, X2,..., X, be iid exponential with parameter A (pdf= A exp(-Az)]. Let X(n) be the nh order statistic. Find the p.d.f. of X(n). (c) Find a sequence {bn} of real numbers such that Xn) - bn converges in distribution. and find the limiting distribution. |

Q: т 1 Let A = (6 "). m Find A4 1

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Q: 4. x² 2x 5. (125x²y¹) 6. (16a 1/4

A: (4)  K=x22x-5ax×ay=ax+y

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Q: 4 Evaluate -1 0 5 by: 3 - 2 expanding along the first row expanding along the second column A A 1.…

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Q: Find L{1}ℒ{1}.

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Q: b. N(0)

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Q: 10 14 9.) Find O 18

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Q: 4. 3*+4 72x-1

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Q: 3. A box contains 60 yellow marbles, 110 blue marbles and 90 green marbles. If you pick one marble…

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Q: 6 2/5 + 1 3/10

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Q: Max 3A + 2B IA+IB ≤ 10 3A +1B ≤ 24 1A + 2B ≤ 16 A, B 0

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Q: Simplify. 8(2x³y-3x)-x+5 O 16x³y - 24x O 16x³y - 4x + 5 10x5y - 32x + 40 16x³y - 25x + 5

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Q: Find the Funetion

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Q: 10 X 12 X-3 +4=0

A: Here we have to find the value of x.

Q: 20 Evaluate 42 E (6m + 3) m=1

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Q: Reduce the following to the lowest terms. Show how to calculate the greatest common divisor by the…

A: The given fraction number is,Here we can write,As we can see the number 4 can be canceled out.This…

Q: 1/4 +5/4

A: Solution: The objective is to find the value of the given expression

Q: 1) (8s° - 9s) - (3s° + 4)

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

Q: Multiply. 5/ x-4 5. 7 6 X+1

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Q: 8. B (6,7) (13,7) |(0,2) 10 12 14 My friend had a nearly-empty tank of gas, only enough to travel 15…

A: We have to find that the gas is enough or not to reach at point C.

Q: Fully simplify. (2/-54)(10/48)

A: The detailed solution is as follows below:

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A: ∠ABD=x°∠ACD=27°∠ABD and ∠ACD are in same segment.

Q: Show that 8 = [(AB) (aß) – (AB) (aB)] %3D

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Q: 29 Using the combination formula expand (5+x)

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Q: Prove that n² +n is divisible by 2, where n E N.

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Q: /2 2. 1/2

A: (a12+b12)(2a12-3b12)=2a12a12+2a12b12-3a12b12-3b12b12=2a+2a12b12-3a12b12-3b=2a-a12b12-3b

Q: 13. Divide. (2? + 9x – 52) ÷ (x – 4) x + 13 0.-+ 1 – 4 + 4 O++13+ 4 2 x - 4

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Q: 22 7/8 - 7=

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Q: 1. Use expansion along the 3rd row -4 3 1 2 -1 1 7 5

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Q: y - Sy = 0

A: The given differential equation is: y''-5y=0

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.