please show math thank you Jane is considering a new TV She has an existing 50Mb

ID: 668979 • Letter: P

Question

please show math thank you

Jane is considering a new TV

She has an existing 50Mb/s connection through her Internet provider

A 1080p HD movie typically requires about 5GB/hour storage space

Questions:

How long will it take her to download a 90 minute movie in 1080p resolution

Will she be able to stream the movie in real time to her TV?

How long will it take her to download a 90 minute movie in 4k resolution?

What Internet connection would Jane need to stream the 4k movie in real time?

Bonus: How much does the Internet connection (from Q4) cost per month?

Assumptions for your calculation:

1 bit = 0 or 1 (abbreviation: b)

1 Byte = 8 bits (abbreviation: B)

1 KiloByte = 1024 Bytes (abbreviation: KB)

1 Kilobit = 1024 bits (abbreviation: Kb)

Mega = 1024 Kilo

Giga = 1024 Mega

Tera = 1024 Giga

4k resolution: 4096 x 2160 pixels per image

1080p resolution: 1920 x 1080 pixels per image

90 minute movie means that 7.5 GB

now Jane has a connection of 50Mb per second

now mean know taht 1byte = 8 bit.

so her connection speed is 50/8 MB per second

Now to download it will take time (in seconds) = 7.5 * 1024 * 8 /50 = 1228.8 seconds

or it will make 20.48 minutes for the same.

Yes she should be able to stream the movie in real time

for 4K resolution the size of the movie will roughly become 4 times due to increase in pixel

so it will take four times the time taken previously 81.92 minutes

Jane should take a 200Mbps connection to stream this movie.

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