Problem $1[10$ Points$]$

The Gran Telescopio Canarias $($GranTeCan or GTC$)$ is a $10\mathrm{.}4$ m $(410$in$)$ reflecting telescope located at the Roque de los Muchachos Observatoryon the island of La Palma, in the Canaries, Spain. It is the world's largest single$-$aperture optical telescope. It captures $10$ million images every three months, and each image is about $10$ Gbytes. The images are transported to the UA Space Lab, about $\backslash (10,000\backslash$mathrm$\{$~km$\}\backslash )$ away.

$($a$)[5$ points$]$: Assume the existence of a $1$ Gbps connection between the telescope and the UA space lab. How long will it take to transfer the $10$ million images assuming continuous bit transmission without ACKs. For ease of calculation assume $1$ GByte $\backslash (=10^\{9\}\backslash )$ Bytes.

$($b$)[5$ points$]$: Can you think of a faster method to deliver the images to the UA Space Lab? If so$,$ make some simplifying assumptions and compute the throughput of the method you propose.