Consider E={-2+1/n} n=1 to infinity U (3,9) as a subset of R with the usual definition of < (less than) a

Q: Suppose X ∼ Binom(n, p). Show that E[X] = np.

A: Suppose Its probability mass function is defined as,Where,

Q: prove if P>-l then Citp = I+np %3D n€ IN

A: The given statement is not TRUE. Counter example is taking n = 2.

Q: Q2. | For what values of a, b and c does the function 6, x = 0 f(x) = {2x2 + a, bx + c, 0 <x < 2 2…

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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: G finta topoegy let x ba non-empty sel finit!. %3D A is chseel in Tos iff A is finit are closeel).…

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Q: (a) Let the interval a, b be divided into n equal sub-intervals such that a = x0 < a1 < x2 < x3…

A: From this general formula we can obtain different integration formulae by putting n=1, 2,3 etc. We…

Q: what is M<E

A: Solution-As the solution is given,

Q: Show that |Z(Dn)|=1 or 2 according to whether n is odd or even

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Q: 5. Find the domain off(z-In(e*-3). Then find f-1 and its domain.

A: f(x) = ln(ex-3)The function "ln" is defined for positive numbers only.Hence, x should be such that…

Q: If k = (11.03.-9.12,3.15,-1.01) in R4 then k| = %3D %3D

A: Given  k = 11.03, -9.12, 3.15, -1.01t in R4. We have to find the value of k1.

Q: If Z ~ N(0,1) what is P(−0.68<Z<−0.56): ____

A:

Q: 2. Prove that |µ(n)| _ S(s) S(2s) n=1 if s > 1.

A: Riemann zeta function is a complex-valued function defined as ςs=∑n=1∞1ns.  There is a relationship…

Q: How many finite functions exist of the form f: {1, 2, 3,...,m} {1, 2, 3,..., n}? How many of them…

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Q: Please help me with this question. I am having trouble understanding what to do. Please show all…

A: The objective of the first part of the question is to prove that the sum of two functions, f1 and…

Q: Let n eN 1. Show that o (n²) = ng(n) 2. Show that o (n) +

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Q: 18.12. Let the function f be entire and f(z) → o as z 0o. Show that f must have at least one zero.

A: We are given that f be entire and f(z) goes to infinity as z →∞  and we  have show that f has at…

Q: A container contains 35 green tokens, 5 blue tokens, and 3 red tokens. Two tokens are randomly…

A: There are total (35+5)=40 non-red tokens and 3 red tokens in the container.  And total (35+5+3)=43…

Q: Prove that E, k2* = (n – 1)2"+1 +2 for all n > 1. =D1

A:

Q: Seven thieves try to share a hoard of gold bars equally between themselves. Unfortunately, six bars…

A: Seven thieves try to share a hoard of gold bars equally between themselves.Unfortunately, six bars…

Q: Let X-N(65,36) P(x> 55) = O 0.5232 none O 0.9525 0.98077

A:

Q: Let X1 ∼ N(0.7,1.4), X2 ∼ N(−0.5,1.2), X3 ∼ N(0.9,1.7), and X4 ∼ N(−0.2,2.1), independently. 1.…

A: X1 ∼ N(0.7,1.4), X2 ∼ N(−0.5,1.2), X3 ∼ N(0.9,1.7), and X4 ∼ N(−0.2,2.1), independently.

Q: 2 13) Consider f(x)= x<o 12x+1 0≤x≤2 Determine whether f is continuous on [0,1] and [1,2]

A: solution of the given question is like as:

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

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Q: let foo- X-1 when x+i- Féndavalde of fethat calil makefis continueus at xe

A: For a function f(x) to be continuous at x = a the condition is:

Q: Prove that In (1tx) Lx for without using the value the orem. mean

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Q: Let f1, f2, .. fn be n real-valued, differentiable functions.- Prove that e :[fif2 ... fn] = (fif2…

A: We have to prove that the given formula.

Q: 2. Let f be the arithmetic function defined by f(n) = (-1)". Compute Z;(2) = f(n) n2 n=1 Hint:…

A: Solution: We will use the following formula Here n0=2

Q: Let n EZ. Show that f(x)= x³ – nx +2 is irreducible over Q for n+-1,3,5. 72

A: Given: fx=x3-nx+2, n∈ℤ. To show fx is irreducible over ℚ for n≠-1,3,5.

Q: (d) If each fn has fewer than M discontinuities (where M ∈ N is fixed), thenf has fewer than M…

A: To Show: If each fn has fewer than M discontinuities (where M ∈ N is fixed), then f has fewer than M…

Q: Let X-N(65,36) P(x<70)= O 0.50798 none O 0.98077 O 0.76973

A: