7 A competition is taking place between two choirs, the Notes and the Classics. There is a large audience for the competition.

• \(30 \%\) of the audience are Notes supporters.
• \(45 \%\) of the audience are Classics supporters.
• The rest of the audience are not supporters of either of these choirs.
• No one in the audience supports both of these choirs.
  1. A random sample of 6 people is chosen from the audience.
     (a) Find the probability that no more than 2 of the 6 people are Notes supporters.
     (b) Find the probability that none of the 6 people support either of these choirs.
  2. A random sample of 240 people is chosen from the audience. Use a suitable approximation to find the probability that fewer than 50 do not support either of the choirs.
     

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