IB DP Maths: AA HL復習筆記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
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