IB DP Maths: AA HL复习笔记4.5.2 Calculating Binomial Probabilities
Calculating Binomial Probabilities
How do I calculate P(X = x): the probability of a single value for a binomial distribution?
- You should have a GDC that can calculate binomial probabilities
- You want to use the "Binomial Probability Distribution" function
- This is sometimes shortened to BPD, Binomial PD or Binomial Pdf
- You will need to enter:
How do I calculate P(a ≤ X ≤ b): the cumulative probabilities for a binomial distribution?
- You should have a GDC that can calculate cumulative binomial probabilities
How do I find probabilities if my GDC only calculates P(X ≤ x)?
- To calculate P(X ≤ x) just enter x into the cumulative distribution function
What if an inequality does not have the equals sign (strict inequality)?
- For a binomial distribution (as it is discrete) you could rewrite all strict inequalities (< and >) as weak inequalities (≤ and ≥) by using the identities for a binomial distribution
Exam Tip
- If the question is in context then write down the inequality as well as the final answer
- This means you still might gain a mark even if you accidentally type the wrong numbers into your GDC
Worked Example
转载自savemyexams
国际竞赛真题资源免费领取
美高学分项目重磅来袭！立即了解
