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It is believed that 25% of the population is in favour of free railway transport, in...

It is believed that 25% of the population is in favour of free railway transport, in order to reduce car emissions.

  1. If we take a random sample of n=30 what is the probability that either 4 or 5 are in favour?
  2. What is the probability that we ask 5 people, until we find the 1st that is in favour?
  3. What is the probability that we ask 15 people, until we find the 3rd that is in favour?
  4. What is the probability that we ask 20 people, until we find the 6th that is in favour?
  5. How many people do we need to ask, so that the probability that at least one person is in favour is 0.8?
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