Use a Double Integral to Find the Area of R $\int _ { x - 2 } ^ { x - 2 } \int _ { y - x - 1 } ^ { y - x - 1 } 1 d y d x = 4$

question 3

Multiple Choice

Use a double integral to find the area of R. R is the triangle with vertices (-2,1) ,(2,1) ,and (0,-1) .

• A) \(\int _ { x - 2 } ^ { x - 2 } \int _ { y - x - 1 } ^ { y - x - 1 } 1 d y d x = 4\)
• B) \(\int _ { y - 1 } ^ { y - 1 } \int _ { x - - y - 1 } ^ { x - y + 1 } 1 d x d y = 4\)
• C) \(\int _ { x = - 2 } ^ { x - 2 } \int _ { y - x - 1 } ^ { y - x - 1 } 1 d y d x = 8\)
• D) \(\int _ { y - 1 } ^ { y - 1 } \int _ { x - - y - 1 } ^ { x - y + 1 } 1 d x d y = 8\)

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Definitions:

Sample Proportion

The fraction or percentage of the sample that exhibits a particular property or attribute.

Parameter

A numerical characteristic of a population, such as its mean or variance, which is typically unknown and estimated from sample data.

Binomial Distributions

A type of probability distribution that describes the number of successes in a fixed number of binary (yes/no) experiments.

Discrete Random Variables

Variables in statistics that can take on a countable number of distinct values and are not continuous.