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.
17/20
1.5%
3/20
0.15%
The empirical probability that a unit will pass the inspection can be calculated by taking the number of units that passed the inspection (1000 - 150 = 850) and dividing it by the total number of units inspected (1000).
Probability of passing inspection = 850/1000 = 17/20
So, the approximate empirical probability that a unit will pass the inspection is 17/20 or 85%.
In which scenario is the experimental probability equal to the theoretical probability
1 a coin is flipped six times and the head appears three times
2 a coin is flipped six times and the head appears four time
3 a coin is flipped six times and the head appears five times
4 a coin is flipped six times and the head appears each time
The theoretical probability of getting a head when flipping a fair coin is 1/2 or 0.5.
The experimental probability can be calculated by dividing the number of times a head appeared by the total number of flips.
1. Experimental probability: 3 heads out of 6 flips = 3/6 = 0.5
2. Experimental probability: 4 heads out of 6 flips = 4/6 = 0.6667
3. Experimental probability: 5 heads out of 6 flips = 5/6 = 0.8333
4. Experimental probability: 6 heads out of 6 flips = 6/6 = 1.0
From the given scenarios, the experimental probability is equal to the theoretical probability in scenario 4 where a head appears each time the coin is flipped.
so whats the answer
The answer is:
4 a coin is flipped six times and the head appears each time