CAIE S1 2024 June — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2024
SessionJune
TopicNormal Distribution
TypeMultiple probability calculations

2 The lengths of the tails of adult raccoons of a certain species are normally distributed with mean 28 cm and standard deviation 3.3 cm .
  1. Find the probability that a randomly chosen adult raccoon of this species has a tail length between 23 cm and 35 cm .
    The masses of adult raccoons of this species are normally distributed with mean 8.5 kg and standard deviation \(\sigma \mathrm { kg } .75 \%\) of adult raccoons of this species have mass greater than 7.6 kg .
  2. Find the value of \(\sigma\).