Solve the Problem $\frac { 1 } { 840 }$ B) $\frac { 3 } { 7 }$

question 104

Multiple Choice

Solve the problem.
-In an essay contest, a teacher finds that seven students have written excellent essays. Three of these students are Alicia, Pat, and David. If the teacher chooses the first place winner, second place Winner, and third place winner at random from these seven students, what is the probability that Alicia will win first prize, Pat will win second prize, and David will win third prize?

• A) \(\frac { 1 } { 840 }\)
• B) \(\frac { 3 } { 7 }\)
• C) \(\frac { 1 } { 210 }\)
• D) \(\frac { 1 } { 35 }\)

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Definitions:

Scatter Diagram

A graphical representation used to visualize the relationship between two quantitative variables.

Regression Line

A line plotted through the scatter plot of data points that best expresses the relationship between those points, typically used in linear regression.

Coefficient Of Correlation

A numerical measure that indicates the strength and direction of a linear relationship between two variables.

Confidence Interval Estimate

A range of values, derived from sample data, that is likely to contain the value of an unknown population parameter, with a specified level of confidence.