CAIE S1 2012 November — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2012
SessionNovember
TopicNormal Distribution
TypeIndependent events across days/trials

2 The random variable \(X\) is the daily profit, in thousands of dollars, made by a company. \(X\) is normally distributed with mean 6.4 and standard deviation 5.2.
  1. Find the probability that, on a randomly chosen day, the company makes a profit between \(
    ) 10000\( and \)\\( 12000\).
  2. Find the probability that the company makes a loss on exactly 1 of the next 4 consecutive days.