Steps | Key Sequence | Screens |
** To find P(X = k) use binompdf. The function has three (3) arguments: number of trials (n), probability of a success (p), number of successes (k). In other words, binompdf(n, p, k). ** |
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Find the binomial probability function | Press 2nd then VARS | |
Press 0 (for binompdf) | ||
Example 1: Let n = 12, p = 0.3 and k = 4 | binompdf(12, 0.3, 4) | |
ENTER | ||
** To find P(X ≤ k) use binomcdf. The function has three (3) arguments: number of trials (n), probability of a success (p), number of successes (k). In other words, binomcdf(n, p, k).** |
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Find the binomial cumulative function | Press 2nd then VARS | |
Press ALPHA, then MATH (for binomcdf) | ||
Example 2: Let n = 12, p = 0.3 and k = 4 This finds P(X ≤ 4) NOTE: P(X ≤ 4) = P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0) |
binomcdf(12,0.3,4) | |
ENTER | ||
** To find P(X ≥ k) use binomcdf. The function has three (3) arguments: number of trials (n), probability of a success (p), number of successes (k). NOTE: P(X > k) = 1 – binomcdf(n, p, k) and P(X ≥ k) = 1 – binomcdf(n, p, k–1).** |
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Example 3: Let n = 12, p = 0.3 and k = 4 To find P(X > 4) use 1 – binomcdf(12,0.3,4) |
1 – binomcdf(12,0.3,4) | |
ENTER |