CAIE S1 2020 June — Question 3

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2020
SessionJune
TopicBinomial Distribution
TypeCombined probability with other distributions

3 A company produces small boxes of sweets that contain 5 jellies and 3 chocolates. Jemeel chooses 3 sweets at random from a box.
  1. Draw up the probability distribution table for the number of jellies that Jemeel chooses.
    The company also produces large boxes of sweets. For any large box, the probability that it contains more jellies than chocolates is 0.64 . 10 large boxes are chosen at random.
  2. Find the probability that no more than 7 of these boxes contain more jellies than chocolates.