CAIE S1 2021 March — Question 3

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2021
SessionMarch
TopicNormal Distribution
TypeMultiple probability calculations

3 The time spent by shoppers in a large shopping centre has a normal distribution with mean 96 minutes and standard deviation 18 minutes.
  1. Find the probability that a shopper chosen at random spends between 85 and 100 minutes in the shopping centre.
    \(88 \%\) of shoppers spend more than \(t\) minutes in the shopping centre.
  2. Find the value of \(t\).