1. Suppose we toss a fair coin independently n times. Therefore the probability of head for each coin toss is 1/2. Show that the probability of having even number of heads after n-many tosses is exactly 1/2 for any n > 0. (Hint: use mathematical induction)

1. Suppose we toss a fair coin independently n times. Therefore the probability of head for each coin toss is 1/2. Show that the probability of having even number of heads after n-many tosses is exactly 1/2 for any n > 0. (Hint: use mathematical induction)

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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Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!
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Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!
If Excel offers data analytics capabilities, why would anyone choose Tableau or Power BI? Also, compare two data analytics tools and mention at least 5 differences.
Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer. Very very grateful!
Katy is interested to understand the of herd immunity concept for Singapore's COVID-19 cases. She noted that 95% of adult population in Singapore's is fully vaccinated by the end of October 2021. She want to compare difference of COVID-19 death cases in Singapore's before Singapore's achieve herd immunity and after Singapore's achieve herd immunity. She collects the data of death cases in Singapore's two weeks in the early of October 2021 (to represent before herd immunity) and two weeks in the end of November 2021 (to represent after herd immunity). Assume the variable is approximately normally distributed. The data are presented as below. Before herd immunity After herd immunity 121 109 118 76 117 105 132 53 40 68 55 45 41 24 78 74 64 93 103 68 88 63 47 37 48 45 40 29 a) What test is appropriate to be used in this question? State why. b) Find sample mean and sample standard deviation of the above data. c) Can Katy concluded that the before herd immunity death cases is lower than the…
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Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!
Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!
Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer. Very very grateful!