OCR S1 2015 June — Question 7

Exam BoardOCR
ModuleS1 (Statistics 1)
Year2015
SessionJune
TopicBinomial Distribution
TypeIndependent binomial samples with compound probability

7 Froox sweets are packed into tubes of 10 sweets, chosen at random. \(25 \%\) of Froox sweets are yellow.
  1. Find the probability that in a randomly selected tube of Froox sweets there are
    (a) exactly 3 yellow sweets,
    (b) at least 3 yellow sweets.
  2. Find the probability that in a box containing 6 tubes of Froox sweets, there is at least 1 tube that contains at least 3 yellow sweets.