Question

A person is waiting to hear a certain song on the radio to try to win a contest for concert tickets. The radio stationmanager promises that they will play the song randomly once sometime between 5:00pm and 10:00pm. The personto work and do some chores and was only able to listen to the radio from 6:00pm to 7:30pm. What is the probabilitythat the person heard the song during the time they listened?

Answer 1

For this case the total interval is between 5pm to 10 pm that represent:

5 hr * 60 = 300 minutes

And th eperson is onlu attentive between 6 to 730 pm that represent:

1.5hr * 60 = 90 minutes

then the probability of heard the song is given by:

p = 90/300 = 3/10 = 0.3