Question

A factory 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?

Answer 1

245 flash drives

Explanation:

We can assume that the proportion of broken flash drives in the 200 drive sample is the same as the proportion of broken flash drives in the weekly output. Therefore, if we let
`x` be the number of broken flash drives produced that week, we can write the following equation:

`(7)/(200) =(x)/(7000)`

Solving for
`x`, we get:

`(7)/(200) =(x)/(7000)`

`7000 * (7)/(200) =x` (Multiply both sides of the equation by
`7000` to isolate
`x`)

`\bf x=245` flash drives (Multiply)

Hope this helps!