The logistic model P(n) =113.31981+0.115 e 0.0912n models the probability (as a percent) that, in a room of n people, no two people share the same birthday. Complete parts (a) through (d).(a) Use a graphing utility to graph P= P(n). The graphs are shown in the viewing window Xmin = 0, Xmax = 100, Xscl = 10, Ymin = 0, Ymax = 100, Yscl = 10. Choose the correct graphbelow.OAQCQB.a5OC.Q(b) In a room of n = 13 people, what is the probability that no two share the same birthday?% (Round to the nearest integer as needed.)(c) How many people must be in a room before the probability that no two people share the same birthday falls below 13%?O D.Q(d) What happens to the probability as n increases? Explain what this result means.A. As n increases, the probability increases. This means that as the number of people in the room increases, the more likely that two will not share the same birthday.B. As n increases, the probability decreases. This means that as the number of people in the room increases, the more likely that two will not share the same birthday.C. As n increases, the probability decreases. This means that as the number of people in the room increases, the more likely that two will share the same birthday.OD. As n increases, the probability increases. This means that as the number of people in the room increases, the more likely that two will share the same birthday.

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Answered: The logistic model P(n) = OA. a) Use 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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Consider the plot of the total number E of Ebola cases in West Africa reported to the Centers for Disease Control and Prevention from April 1, 2014, through December 1, 2015. D +|+|||||||||||||||| ► Ebola Cases in West Africa E = A logistic fit for these data is given by 27,841.42 1 + 134.65-0.646 where t is the time in months since April 1, 2014. Below, we have added the graph of this model. +-+|||||||||||||||||| ► Logistic Graph Added (a) Does the first plot, "Ebola Cases in West Africa," show a continuing epidemic or a health crisis that is under control by December 2015? Because the data points appear to be [leveling off ✔✔✔, they show a health crisis that is under control (b) According to the model, what was the total number of cases when the disease was spreading at the fastest rate? Round your answer to the nearest whole number. 27021.61 x cases (c) Use the crossing-graphs method to determine when the disease was growing at the fastest rate. Round your answer, in months after…

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