A forty makes 7000 flash drives each week. For testing purposes, 200 flash drives are selected at random from each batch. Of this sample, 7 flash drives are found to be broken. About how many flash drives produced that week are likely to be broken?
To estimate the number of broken flash drives produced that week, we can use proportions. We know that 7 out of 200 flash drives in the sample were broken, which is equivalent to a proportion of 7/200 or 0.035.
Assuming that the proportion of broken flash drives in the sample is representative of the proportion in the entire batch of 7000 flash drives, we can estimate the number of broken flash drives produced that week by multiplying the proportion by the total number of flash drives:
0.035 x 7000 = 245
Therefore, we can estimate that about 245 flash drives produced that week are likely to be broken.