CAIE S1 2021 November — Question 7

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2021
SessionNovember
TopicNormal Distribution
TypeFind p then binomial probability

7 The times, in minutes, that Karli spends each day on social media are normally distributed with mean 125 and standard deviation 24.
    1. On how many days of the year ( 365 days) would you expect Karli to spend more than 142 minutes on social media?
    2. Find the probability that Karli spends more than 142 minutes on social media on fewer than 2 of 10 randomly chosen days.
  1. On \(90 \%\) of days, Karli spends more than \(t\) minutes on social media. Find the value of \(t\).
    If you use the following lined page to complete the answer(s) to any question(s), the question number(s) must be clearly shown.