In: Statistics and Probability
210 countries are set to compete in the 2022 World Cup qualifying tournaments which will determine 31 countries who will play in the World Cup (the host country, Qatar, automatically gets one spot).
Write the name of the discrete distribution and write the PMF for the random variables below.
(a) Number of times you must randomly choose a country before finding a qualifying team.
(b) Number of qualifying teams in a random sample of 20 countries.