AQA AS Paper 2 2021 June — Question 14

Exam BoardAQA
ModuleAS Paper 2 (AS Paper 2)
Year2021
SessionJune
TopicBinomial Distribution
TypeE(X) and Var(X) with probability calculations

14 The random variable \(T\) follows a binomial distribution where $$T \sim \mathrm {~B} ( 16,0.3 )$$ The mean of \(T\) is denoted by \(\mu\).
14
  1. \(\quad\) Find \(\mathrm { P } ( T \leq \mu )\).
    14
  2. Find the variance of \(T\).
    \includegraphics[max width=\textwidth, alt={}, center]{f87d1b36-26db-4a0b-b9ec-d7d82a396aba-19_2488_1716_219_153}