Do the following problems.

a$)$ What is the total delay or latency for a message data frame $150$ Million bytes that is being sent on a link with $30$ routers, each having a queueing time of $8$ microsecs and a processing time of $5$ microsecs. The length of the link is $7000Km.$ The speed of light inside the link is $1\mathrm{.}5{10}^8\frac{m}{s}.$ The link bandwidth is $45Mbps.$

Order the various components of the latency in increasing order.

b$)$ How many bits can fit on a link with $15ms$ delay if the link bandwidth is $10Gbps?$

c$)$ A line has a signal$-$to$-$noise$-$ratio of $3000$ and a bandwidth of $9000KHz.$ What is the maximum data rate that can be supported on the line?

d$)$ A signal is transmitted from point $A$ to point $B.$ The signal power at point $A$ is $150GW$ and the signal power at point $B$ is $150MW.$ What is the attenuation of the signal transmission $(dB)?$

e$)$ What is the theoretical capacity of a communications channel if its bandwidth is $15GHz$ and the $SN{R}_{dB}=80?$