Supporting info: (a) If x is N(μ, σ), then x̄ is N(μ, σ/√(n)). (c) Find P(x̄ < 22.62). Use the formula: z = (x̄-μ)/(σ/√(n)). (d) Find P(x̄ = 24.78).

Q: For ∑ 1/(n - π)  and ∑ (n - 1)/(n3 + 1), solve with either big Θ or with Limit Comparison.

A: Certainly, let's use the limit comparison test.1. For ∑ 1/(n - π):Since the limit is a finite…

Q: (a) Find P(T 1.372) when v= 10. (c) Find P(- 1.337 - 2.447) when v = 6.

A: Here we have to find probability or area with t distribution

Q: - Calculate Rg for f(x) = 10 − x over [3,5].

A:

Q: d-x d-x Show that g(x) is decreasing, while is increasing || V62+(d-x)² c1 Va²+a? C2 nction of x.

A:

Q: Find F(s). F(s) = £{t(et + e5t)2}

A:

Q: For ƒ(x) = x + 10√ã, find (ƒ−¹)'(144).

A:

Q: For the PMF Px(x) = = 2 x = 1, 3, otherwise. " calculate Var[X].

A: Answer:- Given pmf is  Px(x) = 1/2 , x= 1, 3  Px(x) = 0 , otherwise.  Using formula,  Var[X] = E(x2)…

Q: 10 16.⁰ FIX Find f(x) dx if = 8 x for x < 8 for x ≥ 8

A:

Q: (x² for x < 2 Evaluate: g(x)dx where g(x) =16 – x for x 2 2

A:

Q: (a) Show that A = 3. (b) Find P(2 < X < 3). (c) Find E(X).

A:

Q: x +1 dx | (25 – 12) 3 2

A:

Q: Solve : f(x) = 3√(x - 1)

A: Given function is  f(x)=x-13

Q: f(x) — 3(8х- х?)/256 for 0<x. Determine P(2<X<4)

A: It is given that,

Q: Cruel to be kind theraphy   Psychodyshamic theraphy   47 11 52 47 50 18 53 47 51 34 54 50 52 40 57…

A: Use the given data to form the excel table:   Cruel to be kind therapy Psychodyshamic therapy…

Q: For the function f(x) = 4x3, find f'(2). %3D

A: f(x)=4x13=yFor inverse, interchange x and y and solve for y

Q: 1/2 S x²√1-x²dx. 0

A:

Q: What are the increasing and decreasing interval(s) of   C(n)= (600+115n) /n ?

A: Given expression;   C(n)= (600+115n)/n   It is always decreasing in nature.

Q: f(x)=5sqrt(x+2) at x=7

A: Given: f(x)=5x+2f(x) has domain x≥-2

Q: A school superintendent wants to know the effects of a four week anti-bullying course on high school…

A:

Q: z −1

A: To find the required area, use the standard normal table. The required probability value is, P(z…

Q: f(x) = 3(8x – x2)/256 for 0<x. Determine P(2<X<4) %3D

A:

Q: x(t-1) * 6[t+1] equals x(t+a) where a equals. Answer:

A: Given, x(t-1)* del(t+1) = x(t +a)

Q: What is R(x) for this value of x? find C(x) for this value of x.

A:

Q: Find the approximate value of f (3.02), where f(x) = 3x2 + 5x + 3.

A: Given

Q: : Let f(x)=el-x. Find f'(x).

A:

Q: Due to depreciation, the value of an automobile t years after purchase is f(t) = ((900 + 6t /…

A:

Q: For the function: f(x) = 2x + 8, f(æ) – f(a) с — а -

A: Given that f(x) =2x+8 .First we evaluate f(a) then substitute in the given expression.