CAIE S1 2019 November — Question 4 5 marks

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2019
SessionNovember
Marks5
TopicApproximating Binomial to Normal Distribution
TypeCombined binomial and normal events

4 In Quarendon, \(66 \%\) of households are satisfied with the speed of their wifi connection.
  1. Find the probability that, out of 10 households chosen at random in Quarendon, at least 8 are satisfied with the speed of their wifi connection.
  2. A random sample of 150 households in Quarendon is chosen. Use a suitable approximation to find the probability that more than 84 are satisfied with the speed of their wifi connection. [5]