Question: Four people agree to meet at a café at noon. Suppose each person arrives at a time normally distributed with mean 12 moon and SD 5 minutes, independently of all the others.
a) What is the chance that the first person to arrive at the café gets there before 11:50?
b) What is the chance that some of the fore have still not arrived at 12:15?
c) Approximately what is the chance that the second person to arrive gets there within ten seconds of noon?