Concept explainers
(a)
To Explain: would simulate the rolling the die till obtain a 1.
(a)
Explanation of Solution
Rolling a die till get 1. Counting the number of times rolled, repeating the roll from the 1st time again.
(b)
To conduct: minimum the 30 trials to get 1.
(b)
Explanation of Solution
Below provides the number of times a die is rolling to get 1
6, 9, 10, 9, 4, 9, 10, 7, 6, 9, 12, 18, 20, 12, 2, 1, 20, 20, 6, 9, 8, 10, 10, 5, 8, 10, 8, 6, 3, 7
(c)
To Calculate: the
(c)
Explanation of Solution
The chance that the number of times a die is rolling to get 1 is achieved by counting and dividing the number of 1's and in table above by 30
Number of times die
Is rolled to obtained 1 | Number of times occurred | |
1 | 1 | 0.0333 |
2 | 1 | 0.0333 |
3 | 1 | 0.0333 |
4 | 1 | 0.0333 |
5 | 1 | 0.0333 |
6 | 4 | 0.1333 |
7 | 2 | 0.0667 |
8 | 3 | 0.1 |
9 | 5 | 0.1667 |
10 | 5 | 0.1667 |
12 | 2 | 0.0667 |
18 | 1 | 0.0333 |
20 | 3 | 0.1 |
(d)
To find: the actual probability.
(d)
Explanation of Solution
Following table mention the actual probability model.
| |
1 | |
2 | |
3 | |
4 | |
5 | |
6 | |
7 | |
8 | …. |
(e)
To Explain: the comparison the distribution of the results with the simulation to the probability.
(e)
Explanation of Solution
By seeing the both the table, it is observed that the real probability is not similar at all, it raises the number of trials it may be similar to.
Chapter 17 Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
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