CAIE S1 2010 June — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2010
SessionJune
TopicNormal Distribution
TypeDirect binomial from normal probability

2 The lengths of new pencils are normally distributed with mean 11 cm and standard deviation 0.095 cm .
  1. Find the probability that a pencil chosen at random has a length greater than 10.9 cm .
  2. Find the probability that, in a random sample of 6 pencils, at least two have lengths less than 10.9 cm .
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    The birth weights of random samples of 900 babies born in country \(A\) and 900 babies born in country \(B\) are illustrated in the cumulative frequency graphs. Use suitable data from these graphs to compare the central tendency and spread of the birth weights of the two sets of babies.