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Name: The histogram above is symmetric. Prove that this is true for any bino
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Description: The histogram above is symmetric. Prove that this is true for any binomial random variable of equal probability. That is, show that if N is a binomial random variable with parameters n and p = 0.5, we have P(N = k) = P(N = n-k) Binomial distribution

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Binomial distribution with parameters n = 25 and p = .5 %3D 0.16 0.14 0.12 0.1 0.0 0.06 0.04 0.02 10 Values of N 15 20 25 30 Probability

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

The histogram above is symmetric. Prove that this is true for any binomial random variable of equal probability. That is, show that if N is a binomial random variable with parameters n and p = 0.5, we have P(N = k) = P(N = n-k)

Binomial distribution with parameters n = 25 and p = .5
%3D
0.16
0.14
0.12
0.1
0.0
0.06
0.04
0.02
10
Values of N
15
20
25
30
Probability

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