CAIE S2 2019 June — Question 4

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2019
SessionJune
TopicLinear combinations of normal random variables
TypeDirect comparison of two variables

4 The heights of a certain variety of plant are normally distributed with mean 110 cm and variance \(1050 \mathrm {~cm} ^ { 2 }\). Two plants of this variety are chosen at random. Find the probability that the height of one of these plants is at least 1.5 times the height of the other.