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.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.2: Applications Of Exponential Functions

Problem 44E: Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program...

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