2013 H2 Mathematics Paper 2 Question 7

The Binomial Distribution

Answers

  • The probability of a packet contains a free gift is the same for each packet
  • Whether a packet contains a free gift is independent of any other packet
0.377{0.377}
Out of syllabus

Full solutions

(i)

  • The probability of a packet contains a free gift is the same for each packet
  • Whether a packet contains a free gift is independent of any other packet

(ii)

FB(20,120)F \sim \textrm{B}\left(20, \frac{1}{20}\right)
P(F=1)=0.377 (3 sf)  \begin{align*} \mathrm{P}(F=1) &= 0.377 \textrm{ (3 sf)} \; \blacksquare \end{align*}

(iii)

Out of syllabus