In: Statistics and Probability
It’s the year 1995 and John Smith is staying overnight at a
hotel before an important meeting the next morning. He asked the
customer service desk to give him a 7 am wake-up call. The
probability that he gets the call is 0.9. If he gets the call, the
probability that he will arrive for the meeting on time is 0.9. If
the call is not given, the probability that he will be on time for
the meeting is 0.4.
a) Calculate the probability that John Smith will not arrive on
time for the meeting.
b) If John Smith is on time for the meeting, what is the
probability that the wake-up call was not made?