A calculator manufacturing company checks 500 calculator units and finds that 25 of them have non-functioning keys. What is the relative frequency of a non-defective calculator from this batch of items?(1 point)
Responses
475/500
475 over 500
19/20
19 over 20
1/20
1 over 20
25/500
25 over 500
475/500
475 over 500
A quality controller inspected 1,000 units of a product and rejected 150 units due to defects. Find the experimental probability that a unit will pass inspection.(1 point)
Responses
320
3 over 20
0.15%
0 point 1 5 percent
1720
17 over 20
15%
The experimental probability that a unit will pass inspection is calculated by subtracting the number of defective units from the total and then dividing by the total number of units:
Number of units that will pass inspection = Total units - Defective units
Number of units that will pass inspection = 1000 - 150 = 850
Experimental probability = Number of units that will pass inspection / Total units
Experimental probability = 850 / 1000 = 0.85 or 85%
Therefore, the correct response is 85%.
85% isn't an option
Apologies for the oversight.
The correct response based on the options provided would be:
3 over 20
In which scenario is the theoretical probability equal to the experimental probability?(1 point)
Responses
A coin is flipped six times and heads appears each time
A coin is flipped six times and heads appears each time
A number cube is rolled six times and an even number appears each time
A number cube is rolled six times and an even number appears each time
A number cube is rolled six times and a 6 appears four times
A number cube is rolled six times and a 6 appears four times
A coin is flipped six times and heads appears three times
A coin is flipped six times and heads appears each time
A part of a promotion, students who participate in a survey are mailed a free pass for one of three activities: movies, roller skating, or bowling. Participants have an equal chance of receiving each type of pass. If 900 students participate, how many would be expected to receive a pass for roller skating?(1 point)
Responses
23
2 thirds
600
600
450
450
300
Since the participants have an equal chance of receiving each type of pass, the expected number of participants receiving a roller skating pass can be calculated as follows:
Total number of participants = 900
Expected number receiving a roller skating pass = Total number of participants / Number of possible passes = 900 / 3 = 300
Therefore, the correct response is 300.
On the math test, Samantha missed 4 of the 20 questions. What is the relative frequency of correct responses?(1 point)
Responses
0.2
0.2
0.8
0.8
0.4
0.4
0.16
The relative frequency of correct responses can be calculated as follows:
Number of correct responses = Total questions - Number of questions missed = 20 - 4 = 16
Relative frequency of correct responses = Number of correct responses / Total questions = 16 / 20 = 0.8 or 80%
Therefore, the correct response is 0.8.