OCR MEI S1 2009 January — Question 4

Exam BoardOCR MEI
ModuleS1 (Statistics 1)
Year2009
SessionJanuary
TopicBinomial Distribution
TypeSingle batch expected count

4 A pottery manufacturer makes teapots in batches of 50. On average 3\% of teapots are faulty.
  1. Find the probability that in a batch of 50 there is
    (A) exactly one faulty teapot,
    (B) more than one faulty teapot.
  2. The manufacturer produces 240 batches of 50 teapots during one month. Find the expected number of batches which contain exactly one faulty teapot.