The logistic model Models the probability that, in a room of n people, no two people share
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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 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.
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