Use a calculator to compute the values of 2 +(1/2!) + (1/3!) + g+ (1/n!)for n = 4, 6, 8, and 10. Compare each result with e.

Q: Find the value of z if e =1.

A: Our Aim is to find the value of z if ez=1 -(i)

Q: B. Find e in the whole number. 1. N = 5,000 2. N = 20,000 3. N = 12,000 and n = 200 and n = 3,000 e…

A: B. Here we have to find e in whole number. Formula to calculate e is as,…

Q: Show in detail that E [(X-µ)^n] = 0 for ∀n , where X~N (µ, σ²) and n≥3.

A: It is an important part of statistics. It is widely used.

Q: : Answer the following 1- Let s = = {+:n € N}. Find max(s), min(s), sup(s), inf(s).

A:

Q: and g(n) is O(H), the

A: Given: f(n)=O(n2) and g(n)=O(n) We have to check that given statement is true or false.

Q: Show that inf n e N} = 0. n1/3

A:

Q: Determine the following Value of t in each of the following circumstances  1) 1-a=0.95, n=10  2)…

A: From the provided information, 1) 1 – α = 0.95 and n = 10

Q: Find a number a + 5 such that S" (1 – æ) dæ = 0

A:

Q: Find the Taglor Series for ga-e" about

A: Here given  a = 0 and f(x) = y(x) = e-x

Q: 3. Given n > 1, let S = E-1: Show that S, is not k=1 _k° an integer.

A: We are given that   Sn = ∑k=1n1/k   and n>1              ..(i) We have to show that Sn  is not an…

Q: Compute the quantity. 5 (ww) w, using w= -2 W W -6

A: Given: w=5-2-6 To find: 1w·ww   Dot product of two vectors u=u1,u2,u3 and v=v1,v2,v3 is given by…

Q: a) Show that E-o(-1)*(")=0, and then verify that () + C) + C') + -- - C) + (") + (") + -- .. b)…

A:

Q: Let N(t) be the percentage of a state population infected with a flu virus on week t of an epidemic.…

A: The percentage estimated population would be N(4)=N(3)+N'(3) As(N'(3)=N(4)-N(3)4-3=slope So…

Q: Let a, b eR with a < b. Assume that a + <b - for all n e N. Show that n n=1

A:

Q: If we are to rearrange the letters of the word ENTER wherein the two E's are to be kept together, we…

A: Word : ENTER

Q: Suppose a, b e (0, ) and a b- a.

A: I hope that this solution will help you .Thankyou. Best regards.

Q: 1000 1000 2. Find Eb, if E(4b, – 5)=16. k=1 k=1 1000 1000 1000 1000 1000 а. —1290. b. Уь, —1254. с.…

A: Given ∑k=110004bk-5=16

Q: What is the general rule to evaluate I N,where N is any positive

A:

Q: What is (compute) T ges E Messages

A:

Q: 2x In e

A:

Q: n the Wechsler Ac e among the highes

A: According to the sum, the scores on the Wechsler Adult Intelligence scale are approximately normal…

Q: Nationally, at least 60% of Ph.D. students have paid assistantships. A college dean feels that this…

A: The claim is, dean feels it is not true that at least 60% Ph.D. Students have paid assistantship.…

Q: Suppose a e Z. If a² is not divisible by 4, then a is odd.

A:

Q: 3. Apply Lagrange's interpolation formula, find In 9.2 with n=3 and the values below 9.5 10.0 11.0…

A:

Q: For this problem, assume that outcome O1 has frequency 1/a1, outcome O2 has frequency 11/a, and the…

A: Outcome O1 has frequency 1/a, O2 has frequency 11/a and another one is having frequency 12/a.

Q: Show that E-o (-1)*(")=0, and then verify that () + C) + C)+ - = (") +C) + () +-- -G) + G) + G)-…

A: We can show given identity by definition of Binomial theorem:

Q: Proceed as in Example 3 in Section 6.1 to rewrite the given expression using a single power n(n –…

A:

Q: Show that for all n E Z, n² 5.

A: Consider the given condition: This shows that whatever will be the values of n, it will always be…

Q: Which of the following is the smallest, positive value of n for which -i" is equal to -i? (1) n=1…

A:

Q: (5) Show that T(n)o(n) > n for all n E N. 11

A:

Q: If (a,b) denotes an arbitrary interval of numbers on the real number line, Find the probability when…

A: Given [a, b] an arbitrary interval of real numbers.

Q: Suppose m> n. Show that L x"

A:

Q: achine that manufactures automobile parts p e time. If 6 parts produced by this machine a t is the…

A: Given: Sample size, n = 6 Proportion, p = 12100=0.12 q = 1-0.12 = 0.88 Here, binomial will be used,…

Q: Let n be a positive integer, then n+1≥ for all n.T/F

A: We need to show that n+1≥n for all n where n is a positive integer. Lets proof by contradiction

Q: n+12i=1Xi ,show that T is a biased consistent estimator of a parent mean of N(u, o).

A:

Q: List the numbers from smallest to largest. 0.000074 7.8 x 10 40,000 4.2x 103 Choose the correct…

A:

Q: O N (AT) = R(A)-

A:

Q: Write In (e5 x 2) in term of In x. In (e x²) =

A:

Q: 7. (a) A computer is programmed to choose an integer between 1 and 99, inclusive, so that the…

A: Introduction: The probability distribution function is significant in random variable. It is the…

Q: Provide a proof for the following situation.

A: In triangle ACB and triangle ECD,

Q: Find all values of x for which ∑ (n=0 to ∞) 1/(1+x)^n equals 4

A:

Q: Show that for any n E N, n(n + 1)(2n + 1) %3D k=0

A:

Q: 2. (a) Evaluate e²-dr, where a > 0.

A: Let, I=∫0∞e-x2-a2x2dxI=∫0∞e-x2e-a2x2dx Let F(x,a)=e-x2-a2x2DaF=-2ax2e-x2-a2x2DxF=-2x+2a2x3e-x2-a2x2

Q: Calculate the S.D. of the following :

A: Here use given sample data for standard deviation

Q: Prove that the value of the expression (а — 1)(а — 3)(а — 4)(а — 6) + 10 is positive for every a E…

A: The critical points for the function are the set of values where the function attains its maximum…

Q: The probability of a student succeeding in statistics is 0.6, the probability of him succeeding in…

A:

Q: it is the empirical formula for C10H20O5 O C₂H5O

A: Empirical formula  An empirical formula is the simplest whole number ratio of elements in a…

Q: A. Examine the gene pool of this population (Column A) and then choose the answer for the following…

A: From the Given Data; n=10   1. Frequency of AA =1/10 =0.1

Q: Find the b1 coefficient O A) 11,651 Cannot be calculated due to lack da O B) Eksik verilerden dolayı…

A: t = 11.651 se = 0.062318588

Q: If n = a? for some a E Z then 1155 n" + 7777n + 1 %3D

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.