Hints:

  • To find the probability that a binomial variable is exactly equal to a number x, use:  binompdf(n,p,x) where n is the sample size, p is the probability of success.
  • To find the probability that a binomial variable is less than or equal to a number x or at most x, use: binomcdf(n,p,x).
  • To find the probability that a binomial variable is less than a number x, use: binomcdf(n,p,x-1).
  • To find the probability that a binomial variable is greater than to a number x, use the rule of complements:  1 - binomcdf(n,p,x).
  • To find the probability that a binomial variable is greater than or equal to a number x or at least x, use the rule of complements: 1 - binomcdf(n,p,x - 1).