Question

The relative frequency table describes whether a group of students eat breakfast on school days and non-school days.


Eat Breakfast Do Not Eat Breakfast
School Day 0.18 0.49
Not a School Day 0.09 0.24
For these students, are eating breakfast and school day approximately independent? Justify the answer with probabilities.
The events are approximately independent because 0.269 ≠ 0.670.
The events are not independent because 0.269 ≠ 0.670.
The events are approximately independent because 0.269 ≈ 0.270.
The events are not independent because 0.269 ≈ 0.270.
Question 11(Multiple Choice Worth 1 points)
(Addition and Multiplication Rules for Probability MC)

There is a 58% chance that a painter will work today, a 27% chance that it will storm today, and a 13% chance of both happening. Determine the probability that it will storm today or the painter will work today.

16%
31%
72%
85%
Question 12(Multiple Choice Worth 1 points)
(Interpreting Independence LC)

P(A) = 0.43 and P(B) = 0.24. Determine P(A|B) if events A and B are independent.

0.10
0.24
0.67
0.43
Question 13(Multiple Choice Worth 1 points)
(Events and Sample Spaces LC)

A four-sided die is numbered one through four. A spinner has sections that are red, blue, yellow, green, and purple. List all possible outcomes from rolling the die once and spinning the spinner once.

{1, 2, 3, 4, r, b, y, g, p}
{1rb, 1br, 1yg, 1gp, 1pb, 2rb, 2br, 2yg, 2gp, 2pb, 3rb, 3br, 3yg, 3gp, 3pb, 4rb, 4br, 4yg, 4gp, 4pb}
{1r, 1b, 1y, 1g, 1p, 2r, 2b, 2y, 2g, 2p, 3r, 3b, 3y, 3g, 3p, 4r, 4b, 4y, 4g, 4p}
{1r, 1b, 1y, 1g, 2r, 2b, 2y, 2g, 3r, 3b, 3y, 3g, 4r, 4b, 4y, 4g}
Question 14(Multiple Choice Worth 1 points)
(Applying Two-Way Frequency Tables MC)

An amusement park owner tracked the ages of visitors who frequented different rides and displayed the data in a table.


Teacups Ferris Wheel Gondola Ride Roller Coaster
Under 12 33 7 14 16
12 – 25 20 8 28 7
Over 25 12 17 19 9
Is being under the age of 12 independent of riding the roller coaster at this amusement park? Justify the conclusion mathematically.
No, because 0.062 = (0.368)(0.168)
Yes, because 0.062 = (0.368)(0.168)
No, because 0.084 ≠ (0.368)(0.168)
Yes, because 0.084 ≠ (0.368)(0.168)
Question 15(Multiple Choice Worth 1 points)
(Conditional Probability MC)

A candy shop tracks the orders for different flavors and styles of chocolate to stock the best inventory. The two-way frequency table summarizes the orders for the last week.


Plain Almonds Crunch Min

Answer 1

Wait that wasn't supposed to happen, hold and let me close this toga-