CAIE S1 2021 June — Question 6

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2021
SessionJune
TopicApproximating Binomial to Normal Distribution
TypeCombined binomial and normal events

6 In Questa, 60\% of the adults travel to work by car.
  1. A random sample of 12 adults from Questa is taken. Find the probability that the number who travel to work by car is less than 10 .
  2. A random sample of 150 adults from Questa is taken. Use an approximation to find the probability that the number who travel to work by car is less than 81 .
  3. Justify the use of your approximation in part (b).