Question 1 - A-Level Maths

Exam Board	Edexcel
Module	S2 (Statistics 2)
Year	2017
Session	January
Topic	Normal Distribution
Type	Direct binomial from normal probability

The continuous random variable \(W\) has the normal distribution \(\mathrm { N } \left( 32,4 { } ^ { 2 } \right)\)
1. Write down the value of \(\mathrm { P } ( W = 36 )\)
The discrete random variable \(X\) has the binomial distribution \(\mathrm { B } ( 20,0.45 )\)
Find \(\mathrm { P } ( X = 8 )\)
Find the probability that \(X\) lies within one standard deviation of its mean.