Question 4 - A-Level Maths

Exam Board	Edexcel
Module	S3 (Statistics 3)
Year	2008
Session	June
Topic	Linear combinations of normal random variables
Type	Direct comparison of two variables

The weights of adult men are normally distributed with a mean of 84 kg and a standard deviation of 11 kg .
1. Find the probability that the total weight of 4 randomly chosen adult men is less than 350 kg .
The weights of adult women are normally distributed with a mean of 62 kg and a standard deviation of 10 kg .
Find the probability that the weight of a randomly chosen adult man is less than one and a half times the weight of a randomly chosen adult woman.