Question: The logistic model Models the probability that, in a room of n people, no two people share the same birthday. (a) Use a graphing utility

The logistic model 


P (n) 113.3198 1 + 0.115e0.0912n


Models the probability that, in a room of n people, no two people share the same birthday.


(a) Use a graphing utility to graph P = P(n). 


(b) In a room of n = 15 people, what is the probability that no two share the same birthday? 


(c) How many people must be in a room before the probability that no two people share the same birthday falls below 10%? 


(d) What happens to the probability as n increases? Explain what this result means.

P (n) 113.3198 1 + 0.115e0.0912n

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