Practice variation 1 of 3
Binomial distribution — New n and p
Your question
Let .
(i) Find .
(ii) Show . Hence,
(iii) Using a normal approximation and , estimate as a one-standard-deviation style statement (nearest empirical-rule percentage).
This practice question was inspired by Question 12(b) in the 2020 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.
Before you check
- Have you stated every choice or assumption?
- Can another student follow each line?
- Did you verify the final result independently?