In: Statistics and Probability
A plane goes missing. According to air trac control, the
probability that it has gone
missing in region A is 0.2 and in region B is 0.6. From knowledge
of these regions, it is
known that if a plane goes missing in region A, the probability
that it will be found is 0.7,
while if a plane goes missing in region B, the probability of it
being found is 0.6.
Using probability notation, answer the following questions.
(a) What is the probability that the plane did not go down in
either region A or B? Justify
your answer.
(b) If the probability of the plane being found if it goes down
outside regions A or B is
0.1, what is the total probability of the plane not being found at
all?
(c) If the plane isn't found, what is the probability it went down
in region A?
(d) If two planes go missing independently, what is the probability
that they are both
found?