EXAMPLE 18Using technology to find binomial probabilities

Using the binomial distribution from Example 16, use the TI-83/84 and CrunchIt! to find the following probabilities:

  1. , the probability that all four Americans are sleep-deprived.
  2. , the (cumulative) probability that, at most, two Americans are sleep-deprived.

Solution

We use the instructions in the Step-by-Step Technology Guide at the end of this section (page 336).

  1. Figure 9 shows that we use the TI-83/84 function binompdf with , , and . Figure 10 shows the result: . Figure 11 shows the same input and final answer using CrunchIt!.
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    Figure 6.11: FIGURE 9 TI-83/84 menu.
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    Figure 6.12: FIGURE 10 TI-83/84 result.
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    Figure 6.13: FIGURE 11 CrunchIt!
  2. With the TI-83/84, we use the function binomcdf with , , and . Figure 12 shows the result: . Figure 13 shows the input and final answer using CrunchIt!.
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    Figure 6.14: FIGURE 12 TI-83/84 result.
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    Figure 6.15: FIGURE 13 CrunchIt!

NOW YOU CAN DO

Exercises 29–48.