Answered: Question 1 a) Let assume A = {1,2,3,4,…

Question 1 a) Let assume A = {1,2,3,4, 5} and B = (4,5, 6,7,8,9}. Find the probability of A given B using the Bayes' Theorem. %3D

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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b) Confirm your result above using Conditional Probability Theorem.
c) Why would any researcher want to know or detect the existence or not of outliers before any further analysis of his data?

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1d) Give one example of a ordinal variable and explain why you think your example approximate the ordinal level of measurement.

3d) What is the difference between cluster sampling method and stratified sampling method? Which one is more practical than theoretical?

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Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Now suppose you are the auditor for a very large corporation. The revenue file contains millions of numbers in a large computer data bank. You draw a random sample of n = 226 numbers from this file and r = 87 have a first nonzero digit of 1. Let p represent the population proportion of all numbers in the computer file that have a leading digit of 1. 1) Test the claim that p is more than 0.301. Use α = 0.10. 2) What is the value of the sample test statistic? (Round your answer to two decimal places.) 3) Find the P-value of the test statistic. (Round your answer to four decimal places.) 4) If p is in fact larger than 0.301, it would seem there are too many numbers in…
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