To make: A histogram for the given binomial experiment with the help of a graphing calculator and find the most likely number of success.
Most likely number of success is 3.
Given information:
Number of trials, and probability of success is given as follows:
Formula used:
Formula of Binomial distribution of
The most likely sum will be the
Calculation:
Use a graphing calculator to make a table for the binomial experiment.
Binomial distribution | |
0 | 0.01640968274 |
1 | 0.08043055766 |
2 | 0.1806855485 |
3 | 0.2460037985 |
4 | 0.2260809557 |
5 | 0.1477486809 |
6 | 0.07040606155 |
7 | 0.02464920465 |
8 | 0.006292490623 |
9 | 0.001142298767 |
10 | 1.399718208E-4 |
11 | 1.039483432E-5 |
12 | 3.538147832E-7 |
Draw the histogram for the binomial experiment as shown:
Probability corresponding to 3 success is greatest so the most likely number of success is 3.
Chapter 6 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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