An employee needs to store a video file that is originally $2.5$ GB in size. First a lossy compression reduces the file size by $40\%$ of the original. The compressed file is then encrypted, and the encryption algorithm adds a $12\%$ overhead to the size of the compressed file. Finally, the file system reserves $5\%$ of the resulting file size for metadata.

(a) Calculate the total storage space required for the video file in gigabytes, rounded to three decimal places.

(b) If the storage device has a capacity of $500$ GB, what percentage of the device's capacity will be used by this file? Give your answer to three decimal places.

Question

An employee needs to store a video file that is originally $2.5$ GB in size. First a lossy compression reduces the file size by $40\%$ of the original. The compressed file is then encrypted, and the encryption algorithm adds a $12\%$ overhead to the size of the compressed file. Finally, the file system reserves $5\%$ of the resulting file size for metadata.

(a) Calculate the total storage space required for the video file in gigabytes, rounded to three decimal places.

(b) If the storage device has a capacity of $500$ GB, what percentage of the device's capacity will be used by this file? Give your answer to three decimal places.

Accepted Answer

1.764 GB; 0.353 % of the capacity

Neco 2022 Data Processing Question 41

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