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Part 2 The logistic model below models the probability that, in a room of n people, not two people share the same birthday. P (n) = 113.3198 1+0.115e0.0912n Use Desmos to graph the logistic function. Insert a link to your graph below. In a room of n = 15 people, what is the probability that no two share the same birthday? Show your work and put the appropriate point on your graph. %3D How many people must be in a room before the probability that no two people share the same birthday falls below 10%? Show your work and put the appropriate point on your graph. What happens to the probability as n increases? Explain what this result means.

Part 2 The logistic model below models the probability that, in a room of n people, not two people share the same birthday. P (n) = 113.3198 1+0.115e0.0912n Use Desmos to graph the logistic function. Insert a link to your graph below. In a room of n = 15 people, what is the probability that no two share the same birthday? Show your work and put the appropriate point on your graph. %3D How many people must be in a room before the probability that no two people share the same birthday falls below 10%? Show your work and put the appropriate point on your graph. What happens to the probability as n increases? Explain what this result means.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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BIUA Arial 16 三 5 Part 2 The logistic model below models the probability that, in a room of n people, not two people share the same birthday. P(n) = 113.3198 1+0.115e0.0912n Use Desmos to graph the logistic function. Insert a link to your graph below. In a room ofn= 15 people, what is the probability that no two share the same birthday? Show your work and put the appropriate point on your graph. How many people must be in a room before the probability that no two people share the same birthday falls below 10%? Show your work and put the appropriate point on your graph. What happens to the probability as n increases? Explain what this result means. acer $ & 3 4 7 8 9. 司 %23
Transcribed Image Text:BIUA Arial 16 三 5 Part 2 The logistic model below models the probability that, in a room of n people, not two people share the same birthday. P(n) = 113.3198 1+0.115e0.0912n Use Desmos to graph the logistic function. Insert a link to your graph below. In a room ofn= 15 people, what is the probability that no two share the same birthday? Show your work and put the appropriate point on your graph. How many people must be in a room before the probability that no two people share the same birthday falls below 10%? Show your work and put the appropriate point on your graph. What happens to the probability as n increases? Explain what this result means. acer $ & 3 4 7 8 9. 司 %23
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