A lights A lot quality inspector examines a sample of 25 strings of lights and finds that 6 are defective.
a. what is the experimental probability that a string of lights is defective
b.what is the best prediction of the number of defective strings of lights in a delivery of 1,000 strings of lights?
please explain i am making coreection
I think you are answer grazing. Lets try this: you give your explaination, and I will comment.
To find the experimental probability, you divide the number of desired outcomes by the total number of outcomes. In this case, the desired outcome is the number of defective strings of lights, and the total number of outcomes is the sample size of 25 strings of lights.
a. The experimental probability of a string of lights being defective can be calculated as follows:
Experimental Probability = Number of Defective Strings / Total Sample Size
In this case, the number of defective strings is 6, and the total sample size is 25. So the experimental probability can be calculated as:
Experimental Probability = 6 / 25
b. To predict the number of defective strings of lights in a delivery of 1,000 strings of lights, you can use the experimental probability calculated in part (a) and apply it to the larger sample size.
First, find the probability of a single string of lights being defective:
Probability of Defective String = Experimental Probability = 6 / 25
Then, apply this probability to the larger sample size:
Number of Defective Strings in a Delivery of 1,000 Strings = Probability of Defective String * Total Sample Size
Substituting the values, we get:
Number of Defective Strings in a Delivery of 1,000 Strings = (6 / 25) * 1000
Simplifying the expression, we find:
Number of Defective Strings in a Delivery of 1,000 Strings = 240
Therefore, the best prediction for the number of defective strings in a delivery of 1,000 strings of lights is 240.