Binomial Probability

Finding Individual Probabilities (P(X=x))
  1. Let’s suppose that I am trying to find the probability that a X=5 when you have a Binomial (20, .5)
  2. First enter the number of Successes into a column.
  3. Go to Calc, Probability Distributions, Binomial.
  4. The screen below will appear.
  1. Notice that I have entered 20 for the Number of trials and .5 for the probability of success.
  2. If you do not enter a column into the Optional Storage blank, Minitab will display the answer in the session window.

Probability Density Function

Binomial with n = 20 and p = 0.500000

x P( X = x)

5.00   0.0148

Finding the Cumulative Probability

  1. Let’s suppose that I am trying to find the probability that a X<=5 when you have a Binomial (20, .5)
  2. First enter the number of Successes into a column.
  3. Go to Calc, Probability Distributions, Binomial.
  4. The screen below will appear.
  1. Notice that I have entered 20 for the Number of trials and .5 for the probability of success.
  2. If you do not enter a column into the Optional Storage blank, Minitab will display the answer in the session window.

Cumulative Distribution Function

Binomial with n = 20 and p = 0.500000

x P( X <= x)

5.00    0.0207