To explain: The cumulative probabilities for the last interval in the given range of sum on two fair dice when rolled is 1.
Given:
The cumulative probabilities of the sum of numbers when two dice are rolled is shown below
Sum | 2 to 4 | 2 to 6 | 2 to 8 | 2 to 10 | 2 to 12 |
Cumulative Probability |
Formula used:
The cumulative probability for x is calculated by adding all probabilities less than or equal to x.
Explanation:
The theoretical probability is the ratio of favourable outcomes to total possible outcomes. While the cumulative probabilities for a particular range are the sum of all probabilities of possible events in that particular range.
The last range in the cumulative probabilities of the sum obtained when two dice are rolled is from 2 to 12. The
Conclusion:From the definition of probability and cumulative probability, the cumulative probability of the last interval for any probability distribution is always 1.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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