A group of 20 students have been on holiday abroad and are returning to Norway. In the group, there are 7 who have bought too much alcohol on duty-free and none of them informs the customs officers about it. Customs officers randomly select 5 people from these 20 students for control. We let the variable X be the number of students among the 5 selected who have bought too much alcohol. (a) What type of probability distribution does the variable X have? Write down the formula for the point probabilities. (b) What is the probability that none of those checked has bought too much? (c) What is the probability that at least 3 of the 5 controlled students have bought too much?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A group of 20 students have been on holiday abroad and are returning to Norway. In the
group, there are 7 who have bought too much alcohol on duty-free and none of them informs
the customs officers about it. Customs officers randomly select 5 people from these 20
students for control. We let the variable X be the number of students among the 5 selected
who have bought too much alcohol.
(a) What type of probability distribution does the variable X have? Write down the formula
for the point probabilities.
(b) What is the probability that none of those checked has bought too much?
(c) What is the probability that at least 3 of the 5 controlled students have bought too
much?
Transcribed Image Text:A group of 20 students have been on holiday abroad and are returning to Norway. In the group, there are 7 who have bought too much alcohol on duty-free and none of them informs the customs officers about it. Customs officers randomly select 5 people from these 20 students for control. We let the variable X be the number of students among the 5 selected who have bought too much alcohol. (a) What type of probability distribution does the variable X have? Write down the formula for the point probabilities. (b) What is the probability that none of those checked has bought too much? (c) What is the probability that at least 3 of the 5 controlled students have bought too much?
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