When an interval does not include its endpoints (example: “fewer than 5 successes”), you may need to adjust your numbers before entering them into Geogebra. This applies to discrete distributions only! Since a Binomial distributions takes only integer values, “fewer than 5 successes” and “at most 4 successes” are describing the same range of values (and thus the probabilities are the same). Geogebra cannot compute P(X<5)P(X<5), but it will compute P(X≤4)P(X≤4). Keeping n = 20 and p = 0.5 for now, compute the probabilities of the following. Use four decimal places, and do not convert to percent. Fewer than 5 successes:    More than 12 successes:  Strictly between 8 and 12 successes:    At least 7, but fewer than 10 successes:

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When an interval does not include its endpoints (example: “fewer than 5 successes”), you may need to adjust your numbers before entering them into Geogebra. This applies to discrete distributions only!

Since a Binomial distributions takes only integer values, “fewer than 5 successes” and “at most 4 successes” are describing the same range of values (and thus the probabilities are the same). Geogebra cannot compute P(X<5)P(X<5), but it will compute P(X≤4)P(X≤4).

Keeping n = 20 and p = 0.5 for now, compute the probabilities of the following. Use four decimal places, and do not convert to percent.

  • Fewer than 5 successes: 
     
  • More than 12 successes: 
  • Strictly between 8 and 12 successes: 
     
  • At least 7, but fewer than 10 successes: 
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