AQA S1 2010 June — Question 4

Exam BoardAQA
ModuleS1 (Statistics 1)
Year2010
SessionJune
TopicBinomial Distribution
TypeProbability of range of values

4 In a certain country, 15 per cent of the male population is left-handed.
  1. Determine the probability that, in a random sample of 50 males from this country:
    1. at most 10 are left-handed;
    2. at least 5 are left-handed;
    3. more than 6 but fewer than 12 are left-handed.
  2. In the same country, 11 per cent of the female population is left-handed. Calculate the probability that, in a random sample of 35 females from this country, exactly 4 are left-handed.
  3. A sample of 2000 people is selected at random from the population of the country. The proportion of males in the sample is 52 per cent. How many people in the sample would you expect to be left-handed?
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