factory makes memory cards in batches of 8000. For testing purposes, 10 memory cards are selected at random from each batch. Of this imple, 8 memory cards are found to be broken. About how many emory cards in the batch are likely to be broken in all?

Answer 1

To estimate the total number of broken memory cards in the batch, we can use the proportion of broken cards found in the sample.

In the sample of 10 memory cards, 8 were found to be broken. Thus, the proportion of broken memory cards in the sample is:

\[ \text{Proportion of broken cards} = \frac{\text{Number of broken cards}}{\text{Total number of cards in sample}} = \frac{8}{10} = 0.8 \]

Now, we can apply this proportion to the entire batch of 8000 memory cards to estimate the total number of broken cards:

\[ \text{Estimated number of broken cards in the batch} = \text{Total cards in batch} \times \text{Proportion of broken cards} \] \[ \text{Estimated number of broken cards in the batch} = 8000 \times 0.8 = 6400 \]

Therefore, we estimate that about 6400 memory cards in the batch are likely broken.