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.

Question

17/20
1.5%
3/20
0.15%

Answer 1

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%.

Answer 2

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

Answer 3

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.

Answer 4

so whats the answer

Answer 5

The answer is:

4 a coin is flipped six times and the head appears each time