Ain and Sam are meeting for a coffee at a cafe. Ain arrives at a time which is uniformly distributed between 9 AM and 10 AM, and Sam independently arrives at a time which is uniformly distributed between 9AM and 11AM. Showing your complete working, (a) what is the probability that Sam will arrive before Ain?
Ain and Sam are meeting for a coffee at a cafe. Ain arrives at a time which is uniformly distributed between 9 AM and 10 AM, and Sam independently arrives at a time which is uniformly distributed between 9AM and 11AM. Showing your complete working, (a) what is the probability that Sam will arrive before Ain?
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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Ain and Sam are meeting for a coffee at a cafe. Ain arrives at a time which is uniformly distributed between 9 AM and 10 AM, and Sam independently arrives at a time which is uniformly distributed between 9AM and 11AM. Showing your complete working,
(a) what is the probability that Sam will arrive before Ain?
(b) what is the expected length of time that one person (either Sam or Ain) will wait for the other person?
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