Final answer:
The flash drive was 243.2 megabytes full when the transfer began.
Step-by-step explanation:
To find out how full the flash drive was when the transfer began, we need to calculate the amount of data that was transferred in the 32 seconds. Since the transfer rate is 4.4 megabytes per second, the total amount of data transferred in 32 seconds is 4.4 * 32 = 140.8 megabytes. Therefore, when the transfer began, the drive had 384 megabytes - 140.8 megabytes = 243.2 megabytes.