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The probability that you have more than a 1 hour commute

The probability that you make a home cooked meal and you have more than a 1 hour commute
The probability that you eat at a restaurant given that you have no commute.
The probability that you get takeout food
The probability that you eat at the restaurant and have no commute
The probability that you commute 0 - 1 hour given that you get take out food
Joint - 3/134 = 2% chanceJoint - 7/134 = 5% chanceMarginal - 50/134 = 37% chanceMarginal - 57/134 = 42.5% chanceConditional - 18/50 = 36% chanceConditional - 3/37 = 8% chance

1) The probability that you have more than a 1-hour commute: 2%

2) The probability that you make a home-cooked meal and you have more than a 1-hour commute: 5%

3) The probability that you eat at a restaurant, given that you have no commute: 36%

4) The probability that you get takeout food: 42.5%

5) The probability that you eat at the restaurant and have no commute: 8%

6) The probability that you commute 0-1 hour, given that you get takeout food: 8%

The scatter plot shows the relationship between combined SAT score and first semester college GPA. Which statements are correct? (Choose 3)

Responses

The line of best fit can be used to make predictions of GPA based on SAT score.
The line of best fit can be used to make predictions of GPA based on SAT score.

The line of best fit shows that the combined SAT Score and first semester SAT have a negative correlation.
The line of best fit shows that the combined SAT Score and first semester SAT have a negative correlation.

A reasonable prediction SAT score of 1700 is a GPA of 3.0.
A reasonable prediction SAT score of 1700 is a GPA of 3.0.

A reasonable prediction SAT score of 2100 is a GPA of 3.5.
A reasonable prediction SAT score of 2100 is a GPA of 3.5.

The line of best fit gives the best approximation of the association between SAT score and GPA.

1) The line of best fit can be used to make predictions of GPA based on SAT score.

2) The line of best fit shows that the combined SAT Score and first semester SAT have a negative correlation.
5) The line of best fit gives the best approximation of the association between SAT score and GPA.

y = 20/3 x + 50

The equation is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope is 20/3 and the y-intercept is 50.

A scatter plot for y = 20/3 x + 50

A scatter plot for y = 20/3 x + 50 would be a straight line with a slope of 20/3 and a y-intercept of 50. The plot would show a positive correlation between x and y, meaning that as x increases, y also increases. The exact points plotted would depend on the values of x chosen, but they would fall along the line determined by the equation.

A scatter plot for y = -11/3 x + 95

A scatter plot for y = -11/3 x + 95 would be a straight line with a slope of -11/3 and a y-intercept of 95. The plot would show a negative correlation between x and y, meaning that as x increases, y decreases. The exact points plotted would depend on the values of x chosen, but they would fall along the line determined by the equation.

To calculate probabilities for the given scenarios, we need some additional information. Namely, we need the total number of people in the population and the number of people who fall into each category. Without this information, it is not possible to accurately calculate the probabilities. Could you please provide the required data?