CAIE S1 2012 November — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2012
SessionNovember
TopicNormal Distribution
TypeLinear relationship μ = kσ

4 The mean of a certain normally distributed variable is four times the standard deviation. The probability that a randomly chosen value is greater than 5 is 0.15 .
  1. Find the mean and standard deviation.
  2. 200 values of the variable are chosen at random. Find the probability that at least 160 of these values are less than 5 .