4. In a Bell System study made in 1961 regarding the dialing of calls between WhitePlains, New York, and Sacramento, California, the pmf of the number of trunks,X, required for a connection was found to bei12345Px (i).50 .30 .12.07 .01Determine the distribution function of X. Compute E[X], Var[X] and the modeof X. Let Y denote the number of telephone switching exchanges that this call hasto pass through. Then Y = X + 1. Determine the pmf, the distribution function,the mean, and the variance of Y.

Answer 4:- Given probability distribution of X i 1 2 3 4 5 Px(i) 0.50 0.30 0.12…

Answered: 4. In a Bell System study made in 1961…

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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Suppose that X1, X2,... Xn are n values of a variable X and X is the arithmetic mean. Can we obtain a measure of dispersion of X by taking the arithmetic mean of the deviations (X; - X)? If not, suggest how we can use these deviations to obtain a measure of dispersion of X.
5.14 Social network densities. Social networks involve inter- actions (connections) between members of the network. Sociologists define network density as the ratio of actual network connections to the number of possible one-to-one connections. For example, a network with 10 members has ()- C) = 45 total possible connections. If that network has || only 5 connections, the network density is 5/45 = .111. Sociologists at the University of Michigan assumed that the density x of a social network would follow a uniform distri- bution between 0 and 1 (Social Networks, 2010). a. On average, what is the density of a randomly selected social network? b. What is the probability that the randomly selected net- work has a density higher than .7? c. Consider a social network with only 2 members. Explain why the uniform model would not be a good approxi- mation for the distribution of network density.
1.6 For each research project listed here, identify the var- iables and classify them in terms of level of measure- ment, and whether they are discrete or continuous. Is each variable independent or dependent? a. For a research project in a political science course, a student collected information for 50 nations. She used infant mortality rates as a measure of quality of life and the percentage of all adults who are per- mitted to vote as a measure of democratization. Her hypothesis was that quality of life is higher in more democratic nations. b. A highway engineer wonders whether increasing the speed limit on a heavily traveled highway will result in more accidents. He plans to collect infor- mation on traffic volume, number of accidents, and number of fatalities for the six-month periods before and after the speed limit is changed. e. Students are planning a program to promote "safe sex" and awareness of other health concerns on campus. To measure the effectiveness of the pro- gram,…
Q.39) A patient's blood pressure for the first 15 days of the month was recorded as follows. Systolic BP (SBP): 126,137,119,129,136,138,135,140,127,130,128, 139,134,136,132 Diastolic BP (DBP): 89,94,93,95,90,87,92,88,90,91,86,84,89,91,93 (i) Create a data frame with the names of columns as "Day", "SBP", "DBP" (ii) Calculate the max-SBP and max-DBP using R statistical function (iii) Calculate mean-SBP and mean-DBP using R statistical function (iv) Create an appropriate chart for the above data set.
4.3 Suppose the heights of all female students at University of Maryland in College Park are known to be normally distributed with u 5'5" and o= 2'', find the percentage of female students = a. under 5'2". b. between 5'2" and 5'8". c. between 5'8" and 5'9".
22.3. Given the following ultimate class frequencies, find the frequencies of positive classes. ( AB Y) = 431, ( a BY) = 1,156, (ABC) = 156, (ABC) = 179, (aBC) = 163, and ( a By) = 20,504, (ABY) = 852, (a BC) = 272, %3D %3D

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