A little twist in the problem of a configuration model for an exponential distribution ofdegrees. Imagine that the probability pk of a node of degree k in this network is proportionalto kak (obviously with the constant a being a number smaller than one, otherwise thatexpression would diverge for large k).(1) Calculate the normalization of the degrees. In other words obtain an expression forthe Pk-(2) Calculate the average degree of the network.(3) Calculate the average number of second neighbors.(4) Find out for which values of a does this neighbor have a giant component.These three expressions might be usefulkakk=0a(1-a)²Σk² akk=0=a + a²(1 - a)³Σk²³ ak= ª +4a² + a²(1-a)4k=0

(a) To get the expression for p_k, we need to normalize the probability distribution. The regulation…

Answered: A little twist in the problem of a…

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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A scientist collected data on the mating call frequency of frogs and temperature. They found the least squares line to be: y = 3 + 5x where x is the temperature (in Celsius) and y is mating call frequency. The slope of the regression line can be interpreted in the following way: OWhen temperature decreases by one degree, the mating call frequency increases by 5. When temperature increases by one degree, the mating call frequency increases by 3. O When temperature increases by one degree, the mating call frequency increases by 5. O When temperature decreases by one degree, the mating call frequency increases by 3. OWhen temperature increases by one degree, the mating call frequency decreases by 5. Submit Question
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Below is my script for some problems I am doing in RStudio. How do I code to get the statistical data that shows how the male tv hours differ to the female tv hours? Chapter 2 R Lab.R X StudentSurvey.(1) x Source on SaveE T # 3- Ine Exercise nours are skewea Tert 8 xtabs (~Year, Student Survey. (1)) 9 # 1- The highest concentration of students are Sophomores 10 table(Year)/length (Year) II # 2- The relative frequency for seniors was 0.1% (rounded) 11 Student Survey. (1) STV 12 12 TV 13 14 23 15 16 29 18 19 20 21 22 23 21 24:1 hist (TV) →→Run boxplot (TV) # 6- Based on the box plot there is not a smallest outlier, but there are large outliers # The outliers for hours spent watching TV are any values above 20 hours Survey - Student Survey. (1) #Renaming xtabs (~Sex, Survey) install.packages ("lattice") library("lattice") bwplot (TV Sex, Survey) # 7- Men on average watch more TV # 8- Men have more variability in hours watching TV (Top Level) + Source R Script =
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