In a random sample of a particular model of drone, $2.5\%$ of the drones have a manufacturing defect. At this rate, how many of $4000$ drones of the same model will have a manufacturing defect? $\newline$ Choose $1$ answer: $\newline$ A) $2.5$ $\newline$ B) $25$ $\newline$ C) $100$ $\newline$ D) $1,000$

Full solution

Q. In a random sample of a particular model of drone,

2.5\%

of the drones have a manufacturing defect. At this rate, how many of

4000

drones of the same model will have a manufacturing defect?

\newline

Choose

1

answer:

\newline

2.5

\newline

25

\newline

100

\newline

1,000

Understand defect percentage: Understand the percentage of drones with defects. $\newline$ $2.5\%$ of the drones have a manufacturing defect. This means that for every $100$ drones, $2.5$ drones are defective.
Calculate defective drones: Calculate the number of defective drones out of $4000$ . To find out how many drones are defective out of $4000$ , we multiply the total number of drones by the percentage of defects (expressed as a decimal). Number of defective drones = $4000$ drones $\times 2.5\% = 4000 \times 0.025$
Perform multiplication: Perform the multiplication to find the number of defective drones. $\newline$ Number of defective drones = $4000 \times 0.025 = 100$
Choose correct answer: Choose the correct answer from the given options. $\newline$ The correct answer is C) $100$ , based on our calculation.