1. Benford's Law states that in most real world data sets, the last digit ofa number follows a certain distribution. Let D be the last digit.。 (²+¹)..P(D = j) = log10for j = 0, 1, ,9. Verify this is a PMF by hand using properties ofLogarithms.

Let D be the last digit of a number and the probability distribution of D is given as…

Answered: 1. Benford's Law states that in most…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Since the data obtained as a result of 10 observations of an experiment is ∑ log niXi = 8.2431, what is the geometric mean of this experiment?
2. i) Now, on your calculators, compute the following: e-2.4 - log, 3 =
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Q2. You collected 500 weeks of data (2500 days total). Based on that you find Tuesday's mean return is 12 bps. Mean return of all days is 2 bps. Stdev across all days is 100 bps. There is no noticeable difference b/w Tuesday stdev vs other weekdays' stdev. Based on q1c find D Q1c. what is the mean log return and stdev of log return over one year period and four year period (assuming 252 trading days per year)? Q1d. based on Q1c what is the probably of losing money (negative log return) or doubling your money (total log return = ln(2)) over 1 year and 4 year period?
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6. List two similarities and two differences between natural logarithms and common logarithms.
https://www.youtube.com/watch?v=rUdcUemO_oYhttps://www.youtube.com/watch?v=W2Y6aSwwVLY Following Ben's example from the video links, use the inverse properties of logarithms to write [A]t = [A]0e^(-kt) as: the log of the ratio of solution A. the log of [A]t in terms of the log of [A]0. You can substitute and simplify before exponentiating, simplifying your calculator input.
6.) Use the acidity model give by pH = - log [H•]. where acidity (pH) is a measure of the hydrogen ion concentration [H] (measured in moles of hydrogen per liter) of a solution. a) Find the pH if [H] = 2.3 x 10-s, (Round to the nearest tenth.) am od ne 810S or 2105 moni VM b99weldmuT to (ahnsauony n) nouelugog sri b) Compute [H] for a solution in which the pH = 4.9. (Round to eight decimal places.)W La
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The Euler’s number, e, is of eminent importance in mathematics alongside 0, 1, π and i. It is an irrational number and it is the base of the natural logarithms. Estimate the value of e to five decimal places using Secant Method.
Number 63

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1. Benford's Law states that in most real world data sets, the last digit of a number follows a certain distribution. Let D be the last digit. 10 (¹+¹) P(D = j) = log10 for j = 0, 1,.,9. Verify this is a PMF by hand using properties of Logarithms.