Suppose Two Dice (One Green, One Red) Are Rolled $D ^ { \prime } \cap A$

question 171

Multiple Choice

Suppose two dice (one green, one red) are rolled. Consider the following events. A: The red die shows 1. B: The numbers add to 4. C: At least one of the numbers is 1. D: The numbers do not add to 11. Express the following in symbols.
"Either numbers add to 11 or the red die shows 1".

• A) \(D ^ { \prime } \cap A\)
• B) \(D ^ { \prime } \cup A ^ { \prime }\)
• C) \(D \cup A\)
• D) \(D \cup A ^ { \prime }\)
• E) \(D ^ { \prime } \cup A\)

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Definitions:

Wilcoxon Signed Rank Test

The Wilcoxon signed rank test is a nonparametric statistical test used to compare the median of two related samples to determine if there are significant differences between them.

P-Value

The probability of observing a test statistic as extreme as, or more extreme than, the observed value under the assumption that the null hypothesis is true.

Kruskal-Wallis Test

A nonparametric statistical test that assesses whether there are statistically significant differences between two or more groups of an independent variable on a continuous or ordinal dependent variable.

Kruskal-Wallis H Test

A nonparametric statistical test designed to assess whether there's a significant difference between two or more groups related to an independent variable, with respect to a continuous or ordinal dependent variable.