CAIE S1 2014 November — Question 1 3 marks

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2014
SessionNovember
Marks3
TopicNormal Distribution
TypeFind standard deviation from probability

1 Packets of tea are labelled as containing 250 g . The actual weight of tea in a packet has a normal distribution with mean 260 g and standard deviation \(\sigma \mathrm { g }\). Any packet with a weight less than 250 g is classed as 'underweight'. Given that \(1 \%\) of packets of tea are underweight, find the value of \(\sigma\). [3]