7. Determine the probability that at least 2 people in a room of 10 people share the same birthday, ignoring leap years andassuming 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 computethe 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.)

Here Given Total No of days in year=365

(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.)

(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.)

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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Question

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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