Question: 3. (a) Determine the integer n such that the probability for two of n people having the same birthday is at least 95%. (b) Suppose

3. (a) Determine the integer n such that the probability for
two of n people having the same birthday is at least 95%.

3. (a) Determine the integer n such that the probability for two of n people having the same birthday is at least 95%. (b) Suppose the All-digit PINS are randomly distributed. How many peo- ple must be in a room such that the probability that two of them have the same PIN is at least 1/2? (Here \"4 digits\" means that the PIN cannot start with a 0.) Note: Pay special attention to the direction of the inequality in the formula(s) used for this

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