OCR MEI S1 2012 June — Question 3

Exam BoardOCR MEI
ModuleS1 (Statistics 1)
Year2012
SessionJune
TopicBinomial Distribution
TypeSingle batch expected count

3 At a call centre, \(85 \%\) of callers are put on hold before being connected to an operator. A random sample of 30 callers is selected.
  1. Find the probability that exactly 29 of these callers are put on hold.
  2. Find the probability that at least 29 of these callers are put on hold.
  3. If 10 random samples, each of 30 callers, are selected, find the expected number of samples in which at least 29 callers are put on hold.