CAIE S1 2012 November — Question 3

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2012
SessionNovember
TopicNormal Distribution
TypeFind p then binomial probability

3 Lengths of rolls of parcel tape have a normal distribution with mean 75 m , and 15\% of the rolls have lengths less than 73 m .
  1. Find the standard deviation of the lengths. Alison buys 8 rolls of parcel tape.
  2. Find the probability that fewer than 3 of these rolls have lengths more than 77 m .