Question

For a spinner divided into 8 equal sections numbered 1 through 8, what is the set of favorable outcomes for spinning a number less than 3?



(1 point)
Responses

{4, 5, 6, 7, 8}
{4, 5, 6, 7, 8}

{1, 2, 3}
{1, 2, 3}

{1, 2}
{1, 2}

{3, 4, 5, 6, 7, 8}

Answer 1

The table shows the results of a survey to find what type of breakfast students preferred. Each student could only select one choice.



Use the table to determine whether the following statements are true or false.

(3 points)
True False
The relative frequency for students preferring toast is 0.8


The experimental probability of students preferring cereal is 110


The sample space is 20.

Answer 2

A quality controller inspected 500 units of a product and rejected 80 units due to defects. What is the probability that a unit will pass inspection (no defects)?(1 point)
Responses

0%
0%

84%
84%

50%
50%

16%

Answer 3

{1, 2}

Answer 4

False for all statements.

Explanation:
- The relative frequency for students preferring toast is calculated by dividing the number of students preferring toast by the total number of students. In this case, 4 out of 20 students prefer toast, so the relative frequency would be 4/20 = 0.2.
- The experimental probability of students preferring cereal should be calculated based on the number of students and not exceed 1. The probability of students preferring toast is 4 out of 20, which is not correct.
- The sample space is the total number of possible outcomes. In this case, the sample space is the total number of students surveyed, which is 20. So, the statement that the sample space is 20 is true.

Answer 5

84%

Explanation:
The probability of a unit passing inspection (no defects) is calculated by taking the number of units that passed inspection (500 - 80 = 420) and dividing it by the total number of units inspected, which is 500.

Probability = Number of units passing inspection / Total number of units inspected = 420 / 500 = 0.84 = 84%