CAIE S1 2020 June — Question 6

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2020
SessionJune
TopicNormal Distribution
TypeEstimate from percentile/frequency data

6 The lengths of female snakes of a particular species are normally distributed with mean 54 cm and standard deviation 6.1 cm .
  1. Find the probability that a randomly chosen female snake of this species has length between 50 cm and 60 cm .
    The lengths of male snakes of this species also have a normal distribution. A scientist measures the lengths of a random sample of 200 male snakes of this species. He finds that 32 have lengths less than 45 cm and 17 have lengths more than 56 cm .
  2. Find estimates for the mean and standard deviation of the lengths of male snakes of this species.