C 5 If 8 people are randomly selected, what is thi (b) With k replacing 8 in part (a), what is the sm (c) If 8 people are randomly selected, what is th

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Disregarding the possibility of a February 29 birthday, suppose a randomly selected individual is equally likely to have been born on any one of the other 365 days.
(a) If 8 people are randomly selected, what is the probability that all have different birthdays? (Round your answer to three decimal places.)
If 8 people are randomly selected, what is the probability that at least two have the same birthday? (Round your answer to three decimal places.)
(b) With k replacing 8 in part (a), what is the smallest k for which there is at least a 50-50 chance that two or more people will have the same birthday?
(c) If 8 people are randomly selected, what is the probability that either at least two have the same birthday or at least two have the same last three digits of their Social Se
[Note: The article "Methods for Studying Coincidences"+ discusses problems of this type.] (Assume birthdays and the last three digits of Social Security numbers are ind-
your answer to three decimal places.)
Transcribed Image Text:Disregarding the possibility of a February 29 birthday, suppose a randomly selected individual is equally likely to have been born on any one of the other 365 days. (a) If 8 people are randomly selected, what is the probability that all have different birthdays? (Round your answer to three decimal places.) If 8 people are randomly selected, what is the probability that at least two have the same birthday? (Round your answer to three decimal places.) (b) With k replacing 8 in part (a), what is the smallest k for which there is at least a 50-50 chance that two or more people will have the same birthday? (c) If 8 people are randomly selected, what is the probability that either at least two have the same birthday or at least two have the same last three digits of their Social Se [Note: The article "Methods for Studying Coincidences"+ discusses problems of this type.] (Assume birthdays and the last three digits of Social Security numbers are ind- your answer to three decimal places.)
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