n order to write an exam, a student needs an alarm clock to wake up, which has proven to successfully wake him 80% of the time. If he hears the alarm in the morning the probability of writing the test is 0.9 and if he doesn't hear the alarm the probab

MATLAB: An Introduction with Applications
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 In order to write an exam, a student needs an alarm clock to wake up,
which has proven to successfully wake him 80% of the time. If he hears the
alarm in the morning the probability of writing the test is 0.9 and if he doesn't
hear the alarm the probability is 0.5.
a. If he writes the test what is the probability that he heard the alarm clock?
b. If he doesn ́t write the test: what is the probability that he didn ́t hear the
alarm clock?

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