Binomial Probability Table for the Chocolate Pie Experiment

This may be your first exposure to statistical tables.

Keep in mind that statistical tables exist because mathematicians and statisticians created them to make our lives easier.

If in the future you find a table to be difficult to use, think what it would be like if you had to use a formula (e.g, the one we discussed moments ago) to calculate each number within the table.

Some Recommendations

Chocolate Pie "Table"

[Relevant data from Table 1 (Appendix B) in the Donnelly textbook (1st edition). The 2nd edition includes only (n) values of 2-8 in the binomial probability table (p. 368).]

Recall: n (# of trials); r (# of successes); p (probability of success)

This may be your first exposure to statistical tables.

Keep in mind that statistical tables exist because mathematicians and statisticians created them to make our lives easier.

If in the future you find a table to be difficult to use, think what it would be like if you had to use a formula (e.g, the one we discussed moments ago) to calculate each number within the table.

Some Recommendations

(1) Be sure you are using the correct table. Tables are typically labeled properly (e.g., Table 1 Binomial Probability Tables).

(2) Note whether the numbers are cumulative probabilities or probabilities for specific outcomes (e.g., in Table 2 (Appendix B in your textbook) the author states that "This table provides the probability of exactly (x) number of occurrences for various values of µ." Some authors are not as generous with their ink. Hint: cumulative probabilities typically end with 1.0000 in the final row.)

(3) Identify the parameters used in the table, and use them correctly. (Table 1 Binomial Probability Tables: This table uses n, r, and p in the layout of the table. Note: binomial probability tables on-line and in other books may use other notation, but the values should be the same. Have patience.)

(2) Note whether the numbers are cumulative probabilities or probabilities for specific outcomes (e.g., in Table 2 (Appendix B in your textbook) the author states that "This table provides the probability of exactly (x) number of occurrences for various values of µ." Some authors are not as generous with their ink. Hint: cumulative probabilities typically end with 1.0000 in the final row.)

(3) Identify the parameters used in the table, and use them correctly. (Table 1 Binomial Probability Tables: This table uses n, r, and p in the layout of the table. Note: binomial probability tables on-line and in other books may use other notation, but the values should be the same. Have patience.)

Chocolate Pie "Table"

[Relevant data from Table 1 (Appendix B) in the Donnelly textbook (1st edition). The 2nd edition includes only (n) values of 2-8 in the binomial probability table (p. 368).]

Recall: n (# of trials); r (# of successes); p (probability of success)

Table 1 Binomial Probability Tables | ||||||||||

Values of p | ||||||||||

n | r | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 |

10 | 0 | 0.0060 | ||||||||

1 | 0.0403 | |||||||||

2 | 0.1209 | |||||||||

3 | 0.2150 | |||||||||

4 | 0.2508 | |||||||||

5 | 0.2007 | |||||||||

6 | 0.1115 | |||||||||

7 | 0.0425 | |||||||||

8 | 0.0106 | |||||||||

9 | 0.0016 | |||||||||

10 | 0.0001 |