CAIE S1 2006 June — Question 5

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2006
SessionJune
TopicData representation
TypeTotal sample size from histogram

5 Each father in a random sample of fathers was asked how old he was when his first child was born. The following histogram represents the information.
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  1. What is the modal age group?
  2. How many fathers were between 25 and 30 years old when their first child was born?
  3. How many fathers were in the sample?
  4. Find the probability that a father, chosen at random from the group, was between 25 and 30 years old when his first child was born, given that he was older than 25 years. 632 teams enter for a knockout competition, in which each match results in one team winning and the other team losing. After each match the winning team goes on to the next round, and the losing team takes no further part in the competition. Thus 16 teams play in the second round, 8 teams play in the third round, and so on, until 2 teams play in the final round.