IB DP Maths: AI HL复习笔记4.7.2 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
• • The 'n' value - the number of trials
  • The 'p' value - the probability of success

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