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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