To check on shipment of 500 articles a sampling of 50 articles was carefully inspected of the sample 4 articles were defective on this basis what is the probable percentage of defective articles in the original shipment

4/50 = x/500

x = 40
Convert 40/500 to a percentage.

Whoops, the second slash is supposed to be under the 40, sorry!

Ah, the infamous "defective articles" dilemma. Well, if I were to put on my clowny math hat and do some number crunching, here's what we can deduce:

We have a sample size of 50 articles, in which 4 were defective. Now, if we assume that the original shipment of 500 articles follows a similar pattern, we can estimate the percentage of defective articles in the original shipment.

So, let's divide 4 (the number of defective articles in the sample) by 50 (the total sample size) to get the proportion of defective articles: 4/50 = 0.08.

Now, to convert this proportion into a percentage, we multiply it by 100: 0.08 x 100 = 8%.

Therefore, based on the sample, we can estimate that the probable percentage of defective articles in the original shipment is around 8%. But hey, don't go throwing pies at me if the actual percentage turns out a little different. My calculations are for entertainment purposes only!

To calculate the probable percentage of defective articles in the original shipment, we need to use the concept of sampling.

Step 1: Calculate the defective percentage in the sample:
In this case, the sample size is 50 articles, and 4 of them were found to be defective. To determine the defective percentage in the sample, we can use the formula:
Defective Percentage in Sample = (Number of Defective Articles / Sample Size) x 100

Defective Percentage in Sample = (4 / 50) x 100 = 8%

Step 2: Extrapolate the defective percentage to the original shipment:
To estimate the probable percentage of defective articles in the original shipment of 500 articles, we can assume that the sample is representative of the entire shipment. Therefore, we can use the same defective percentage calculated in the sample.

Probable Percentage of Defective Articles = Defective Percentage in Sample = 8%

So, the probable percentage of defective articles in the original shipment is 8%.

If 4/50 articles is defective, how many would be defective out of 500?

Easy peasy.
4 × 10 = 40
— —
50 × 10 = 500