AQA A Level Maths: Statistics复习笔记4.2.2 Calculating Binomial Probabilities

How do I calculate, P(X = x) the probability of a single value for a binomial distribution?

• You should have a calculator 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(X ≤ x) , the cumulative probabilities for a binomial distribution?

• You should have a calculator that can calculate cumulative binomial probabilities

How do I find P(X ≥ x)?

• You might be lucky enough to have a calculator that has lower and upper bounds:
  

  How do I find  P(a ≤ X ≤ b) ?

• You might be lucky enough to have a calculator that has lower and upper bounds:
  • Use a for the lower bound and b for the upper bound
  • Otherwise, you will need some extra identities

What if an inequality does not have the equals sign (strict inequality)?