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

Create a detailed, visually appealing image representing the concept of empirical probability in quality control inspections. Show a factory assembly line where 1,000 identical electronic devices are being inspected. To represent the distribution, depict 850 devices as shining brightly to show they're free from defects, and 150 devices as being dull or marked to illustrate they have been deemed defective. The atmosphere should be professional, embodying the preciseness and strict standards of quality control processes. To emphasize the story, depict a quality controller of African descent and female gender, scrutinizing the products with a magnifying glass.

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.

Answer 1

To approximate the empirical probability that a unit will pass the inspection, you can use the formula:

Empirical probability = (Number of units that passed inspection) / (Total number of units inspected)

In this case, the number of units that passed inspection would be:

Number of units that passed inspection = Total number of units inspected - Number of units rejected

Given that 1,000 units were inspected and 150 units were rejected:

Number of units that passed inspection = 1000 - 150 = 850

Now, we can calculate the empirical probability:

Empirical probability ≈ Number of units that passed inspection / Total number of units inspected

Empirical probability ≈ 850 / 1000

Empirical probability ≈ 0.85

Therefore, the empirical probability that a unit will pass the inspection is approximately 0.85.

Answer 2

To approximate the empirical probability that a unit will pass the inspection, you need to calculate the ratio of the number of units that passed the inspection to the total number of units inspected.

In this case, the number of units that passed the inspection is the difference between the total number of units inspected and the number of units rejected due to defects.

So, to calculate the empirical probability, follow these steps:

1. Calculate the number of units that passed the inspection:
Number of units passed = Total number of units inspected - Number of units rejected due to defects
Number of units passed = 1,000 - 150 = 850

2. Calculate the empirical probability:
Empirical probability = Number of units passed / Total number of units inspected
Empirical probability = 850 / 1,000

Therefore, the empirical probability that a unit will pass the inspection is approximately 0.85 (or 85%).

Answer 3

The number of units that passed the inspection is 1,000 - 150 = 850.

The empirical probability that a unit will pass the inspection is:
850/1,000 = 0.85 or 85% (rounded to two decimal places).

Answer 4

Well, you could say that the probability of a unit passing the inspection is as slippery as a banana peel in a clown's hand! Let's crunch some numbers to find out.

Out of the 1,000 units inspected, 150 were rejected. This means that 850 units passed the inspection.

To calculate the empirical probability of a unit passing, we divide the number of passing units by the total number of units:

850 passing units / 1,000 total units

So, the empirical probability that a unit will pass the inspection is approximately 0.85, or 85%. You can trust this probability like you can trust a clown with a rubber chicken!