CAIE S1 2020 March — Question 5 3 marks

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2020
SessionMarch
Marks3
TopicApproximating Binomial to Normal Distribution
TypeCombined binomial and normal events

5 In Greenton, 70\% of the adults own a car. A random sample of 8 adults from Greenton is chosen.
[0pt]
  1. Find the probability that the number of adults in this sample who own a car is less than 6 . [3]
    A random sample of 120 adults from Greenton is now chosen.
  2. Use an approximation to find the probability that more than 75 of them own a car.