(a) The probability that 10 people have different birthdays is (Round to four decimal places as needed.) (b) The probability that at least 2 people share a birthday is (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
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7. Determine the probability that at least 2 people in a room of 10 people share the same birthday, ignoring leap years and
assuming each birthday is equally likely, by answering the following questions:
(a) Compute the probability that 10 people have different birthdays.
(b) The complement of "10 people have different birthdays" is "at least 2 share a birthday". Use this information to compute
the probability that at least 2 people out of 10 share the same birthday.
(a) The probability that 10 people have different birthdays is
(Round to four decimal places as needed.)
(b) The probability that at least 2 people share a birthday is
(Round to four decimal places as needed.)
Transcribed Image Text:7. Determine the probability that at least 2 people in a room of 10 people share the same birthday, ignoring leap years and assuming each birthday is equally likely, by answering the following questions: (a) Compute the probability that 10 people have different birthdays. (b) The complement of "10 people have different birthdays" is "at least 2 share a birthday". Use this information to compute the probability that at least 2 people out of 10 share the same birthday. (a) The probability that 10 people have different birthdays is (Round to four decimal places as needed.) (b) The probability that at least 2 people share a birthday is (Round to four decimal places as needed.)
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