First pic:According to Chai's theorem, P(1X-uaS 1.8 ox)2 >=0.691 can be obtained, which is an estimate of the lower bound of the actual probability, which is very different from the actual probability distribution. F(x): {cx x=1,3,57 | 0 = elsewhere} This picture is the answer. Please explain how did they got the answer

First pic:According to Chai's theorem, P(1X-uaS 1.8 ox)2 >=0.691 can be obtained, which is an estimate of the lower bound of the actual probability, which is very different from the actual probability distribution. F(x): {cx x=1,3,57 | 0 = elsewhere} This picture is the answer. Please explain how did they got the answer

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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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.

Question

F(x): {cx x=1,3,57 | 0 = elsewhere}

This picture is the answer. Please explain how did they got the answer

OEf(x)=c+3c+5c+7c =16c =1=c=-
10
3
3/16.
50
7
f(x)•
F(X)-
1/16e
5/16
9/16
7/16 e
1/16
4/16
OHx= 5.25 L= 5 , =7 .
E(X³)=* 16
3
9+
1+
49 = 31=ox= 31–5.25 = 3.4375
25+
%3D
16
16
P(X-Hx K1.80x) = P( X – 5.25|<3.34) = P(5.25–3.34<X <5.25+3.34) -
= P(X = 3)+P(X= 5) + P(X =7)=0.9375.
%3D
16

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