AQA S1 2006 June — Question 2

Exam BoardAQA
ModuleS1 (Statistics 1)
Year2006
SessionJune
TopicNormal Distribution
TypeMultiple probability calculations

2 The heights of sunflowers may be assumed to be normally distributed with a mean of 185 cm and a standard deviation of 10 cm .
  1. Determine the probability that the height of a randomly selected sunflower:
    1. is less than 200 cm ;
    2. is more than 175 cm ;
    3. is between 175 cm and 200 cm .
  2. Determine the probability that the mean height of a random sample of 4 sunflowers is more than 190 cm .