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In: Statistics and Probability

It’s the year 1995 and John Smith is staying overnight at a hotel before an important...

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?

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