A quality controller inspected 1,000 units of a product and rejected 150 units due to defects. Approximate the empirical probability that a unit will pass the inspection.(1 point)
Responses
320
Start Fraction 3 over 20 End Fraction
0.15%
0.15%
1.5%
1.5%
1720
To find the probability that a unit will pass the inspection, we need to divide the number of units that passed by the total number of units inspected.
Number of units that passed = 1,000 - 150 = 850
Empirical probability = Number of units that passed / Total number of units inspected
Empirical probability = 850 / 1,000
Empirical probability = 0.85 or 85%
So, the approximate empirical probability that a unit will pass the inspection is 85%.
A quality controller inspected 1,000 units of a product and rejected 150 units due to defects. Approximate the empirical probability that a unit will pass the inspection.(1 point)
Responses
320
Start Fraction 3 over 20 End Fraction
0.15%
0.15%
1.5%
1.5%
1720
The correct response is: 85%
As calculated in the previous response, the empirical probability that a unit will pass the inspection is 85%.
A quality controller inspected 1,000 units of a product and rejected 150 units due to defects. Approximate the empirical probability that a unit will pass the inspection.(1 point)
Responses
A 320
Start Fraction 3 over 20 End Fraction
B 0.15%
0.15%
C 1.5%
1.5%
D 1720
The correct response is:
A) 320
To find the probability that a unit will pass the inspection, we can calculate it as follows:
Total units inspected = 1000
Units rejected = 150
Units passed = 1000 - 150 = 850
Probability of passing = (Units passed / Total units inspected) x 100
Probability of passing = (850 / 1000) x 100 = 85%
Therefore, the approximate empirical probability that a unit will pass the inspection is 85%.
In which scenario is the experimental probability equal to the theoretical probability?(1 point)
Responses
A coin is flipped six times and the head appears three times.
A coin is flipped six times and the head appears three times.
A coin is flipped six times and the head appears four times.
A coin is flipped six times and the head appears four times.
A coin is flipped six times and the head appears five times.
A coin is flipped six times and the head appears five times.
A coin is flipped six times and the head appears each time.
The response with the scenario where the experimental probability is equal to the theoretical probability is:
A coin is flipped six times and the head appears three times.
This is because in a fair coin toss, the theoretical probability of getting a head is 0.5 (or 50%), so when a coin is flipped six times, the theoretical probability of getting a head three times would be calculated as a combination in probability. This theoretical probability would be equal to the experimental probability if the coin is fair and unbiased.
As part of a promotion, people who participate in a survey are sent a free coupon for one of three winter activities: skiing, snow tubing, or sleigh rides. Participants have an equal chance of receiving each type of coupon. If 900 people participate, how many would be expected to receive a coupon for sleigh rides?(1 point)
Responses
23
Start Fraction 2 over 3 End Fraction
450
450
300
300
600
Since the participants have an equal chance of receiving each type of coupon, the probability of receiving a coupon for sleigh rides is 1/3.
Expected number of people receiving a coupon for sleigh rides = 1/3 * Total number of participants
Expected number of people receiving a coupon for sleigh rides = 1/3 * 900
Expected number of people receiving a coupon for sleigh rides = 300
Therefore, the expected number of people who would receive a coupon for sleigh rides out of the 900 participants is 300.
The correct response is: 300