A factory that makes gaming systems selects 100 random systems to check for defects. They find that 3 of the gaming systems were defective and had to be discarded. How many gaming systems out of 1500 should the factory predict will be defective?
What number would you have to multiply 100 by to get to 1500?
45
The answer would be 45
45
Its is exactly 45
45
45
45
To predict the number of defective gaming systems out of 1500, we can use the concept of probability.
First, we need to calculate the probability of a randomly selected gaming system being defective. We can do this by dividing the number of defective gaming systems found in the sample by the total number of gaming systems in the sample.
In this case, out of the 100 randomly selected gaming systems, 3 were defective. So, the probability of a randomly selected gaming system being defective is 3/100 or 0.03.
Next, we can use this probability to predict the number of defective gaming systems out of 1500. We do this by multiplying the probability by the total number of gaming systems.
Number of defective gaming systems = Probability of a defective gaming system * Total number of gaming systems
Number of defective gaming systems = 0.03 * 1500
Number of defective gaming systems = 45
Therefore, the factory should predict that approximately 45 gaming systems out of the 1500 will be defective.