Find an explicit formula for s, if so = 1 and %3D Sn =2+2s0 + 2s1 +... +2s, 2+ Sn-1, Vn >1.

Q: The largest interval for which the IVP : (In(e - e?)) y + y = 1, y(5) = 0 has a unique solution is O…

A: We have to find largest interval for unique solution

Q: Integrate the following. 2. S

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Q: Property 9. If u, exists, then µ' exists for all '13 s <r. Mathematically, if E (X") exists, then E…

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Q: 16-17. Find the value of n that makes AFED~ AZYX when DE = 4, EF = 5, XY = 4(n + 1), YZ = 7n – 1,…

A: To find the value on n so that two given triangles becomes similar.

Q: Let n E N*. a. Let a > 0. Then 1 as n 0o. b. - 0 as n → ∞ n16/5+2 c. (-1)"+1"" → 0 as n → 0 d.…

A: We know that limx→∞1x=0. It implies that if x→∞, then 1x→0. We need to calculate the limit for every…

Q: Let X - N(H, o?). Show that the MGF of X is etu+o²

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Q: A large but sparsely populated county has two small hospitals, one at the south end of the county…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: X and Y have the following joint distribution: 2 1 2c Y 2 c/2 Find COV(X,Y). A) – B) - C) 0 D) E) {…

A: Given Data     x   y   1 2 Total 1 c 2c 3c 2 c/2 c 3c/2…

Q: K. 4 12 12 8. 7. Which additional piece of information would prove that A/JK-ALMN? C. NM=15 D. LM=10…

A: The objective is to find out the correct additional piece of information.

Q: 0.6 e da, using Simpson's by taking EaN=6

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Q: Find the first term of: E (-1)n+1 (z+1)" n=1 3D1 O (z+1)^2]/2 Z+1 -(z+1) no solution

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Q: Find the general solution or · particular solution of each of the following DE's:

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Q: .3 T Evaluate In In e²+j²4

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Q: 41. Find a formula for the function S(x, y, z) of three variables that gives the average of three…

A: We have to find the formula for function S(x, y, z).

Q: 1. Prove with the usual notations that: (a) EV = VE = A (b) A +V =- (c) A= SE Apply the suitable…

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

Q: 3. The value of c is given by Vn А. /n+1

A: This is a limit problem

Q: dv/du = (uv)² — 2(u — v) — 2.

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Q: n² – 1 E(A) Given that Var(R;) = Var(R,) : 12 12n n +1 + 12 E(A) and Cov(R¡, R¡) 12n(n – 1) for i #…

A: By definition, CovaX,bY=abCovX,YCovX+a,Y+b=CovX,Y

Q: x²y' + 3y = x²

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Q: The largest interval for which the IVP: (In(e* – e)) y' + y = 1, y(5) = 0 %3D X-6 has a unique…

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Q: 2. Define Ej where the reactor rise time of the first batch is less than 55 min. and E2 where the…

A: Given: E1=The reactor rise time of the first batch (t&lt;55)E2=The reactor rise time of the second…

Q: m!n! If m, n e N, then prove that ,, dx = m.n (m+n+1)!

A: A detailed solution is given below.

Q: Show for R(t) = e?-t and S(x) = 2x + 1, that (Ro S)(x) = e1²+2#.

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Q: Find the generating functions of p[x sj), p[x j+ 1], and p[x = 2j] in terms of p(t)

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Q: Let S be a randor mpute E(S|Z).

A: Here S be a random variable with P(S&gt;t)=e-t where t&gt;0 let Z=min(s,t) hence P(S&lt;t)=1-e-t…

Q: he coefficient ao of Fou +2 t. く?

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Q: (c) Derive the following formulae (i) Σ Fra"(n+1) 2 (ii) n(n + 1) (2n + 1) 6. r=1 (ii) 2 n(n+1 2 r-1

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Q: In the process of calculating L − 1 {3s + 4/s2−6s + 205} an equivalent expression is obtained given…

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Q: two variables are independent, each with the pmf given in the accompanying table (so X,

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Q: * السؤال The largest interval for which the IVP: (In(e* – e²)) y' + y = 1, y(5) = 0 has a unique…

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Q: Find c such that each of the following is true. (Round your answers to two decimal places.) (a)…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Question 12 Prove that 1(2) + 2(3) + 3(4) +.+ (n – 1)n n(n-1)(n+1) . for n > 2. 3 ... Edit View…

A: We will prove the given statement.

Q: 2. Let P:C0, 1] → C|0, 1] be given by Pp = " – e°. Compute dP(y). Be sure to justify your…

A: We have Pφ=φ''-eφ We need to find dPφ If we have  y=fx⇒dydx=f'x⇒dy=f'x dx Similarly, we find dPφ for…

Q: terms HK K . J 12 in

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Q: 6) In the process of calculating 7s + a In 7s + b L Where a and b are constant, it is obtained that:…

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Q: Find the value of k so that the value of S,"(2y – 1) dy is 10. 1 2 3 4

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Q: Find  C(n, x)pxqn − x for the given values of n, x, and p. (Round your answer to four decimal…

A: Substitute the values and then simplify.

Q: See attached

A: Differentiating both sides with respect to t, we get Now, we find critical numbers of N(t)

Q: Exercise 9. Use the above formula, together with definition of T, to show that Va(t)||°||a"(t)||² –…

A: Curvature:  If T(t) is the unit tangent vector function to the curve α(t) then the curvature, κ, is…

Q: For n EN, Dn = n! n k=0 (-1)k k! Thus, Dn n!

A: Explanation of the answer is as follows

Q: P(x) 1 2 5 6 IRound to fonur darimal nlarae ae neerlad 4)

A: here use binomial distribution with parameter p = 0.7 and n =6 for binomial theorem ,…

Q: Find T, N, B, K and t for r(t) = ti +÷e2'j when t = In 2. 2

A: answer is in next step

Q: he joint pmf of X and Y is given below. What is E()XI-M)? Y -1 1 X 1/16 1/16 1/16 1/8 1/16 1/8 1/8…

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Q: Question 5 1 Q.5.1 Determine whether (-pVq) A (q→ -r-p) A(pVr) (denoted with p) is satisfiable.

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Q: Find f, and f and evaluate each at the given point. F(x, y) = e*y?, (In 4, 2) f(x, y) f,(x, y) =…

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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.