CAIE S1 2018 June — Question 5

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2018
SessionJune
TopicApproximating Binomial to Normal Distribution
TypeCombined binomial and normal events

5 In Pelmerdon 22\% of families own a dishwasher.
  1. Find the probability that, of 15 families chosen at random from Pelmerdon, between 4 and 6 inclusive own a dishwasher.
  2. A random sample of 145 families from Pelmerdon is chosen. Use a suitable approximation to find the probability that more than 26 families own a dishwasher.