Field Guide/Statistics/Binomial probability
Exam essential3 min

Find exact and cumulative binomial probabilities

X counts successes in a fixed number of independent trials with constant success probability.

01

Press these keys

2ndVARSDISTRbinompdf / binomcdf

Step 1 of 4. Press 2nd.

02

Walkthrough

  1. 1
    Translate

    Exactly x means P(X=x): binompdf(n,p,x). At most x means P(X≤x): binomcdf(n,p,x).

  2. 2
    Open distribution

    Press 2nd → VARS (DISTR), choose the command and enter n, p and x.

  3. 3
    Interpret

    Check 0≤p≤1 and x is an integer from 0 to n.

03

Worked example

X~B(12,0.3). Find P(X=4) and P(X≤4).

AnswerP(X=4)≈0.231; P(X≤4)≈0.724.