Q$2)(20$p$)$ If a baseband binary message with a bit rate $800$ kbps is modulated by an RF carrier using BPSK and is sent through a channel with power delay profile as shown in the figure below. Answer the following questions:

$($a$)$ Find the rms delay spread of the channel and the largest bit rate which can be sent through the channel without using an equalizer?

$($b$)$ If the carrier frequency is $2\mathrm{.}3$ GHz $,$ what is the coherence time of the channel, assuming a vehicle speed of $100$ km per hour?

$($c$)$ What type is the fading channel?

$($d$)$ How many bits are sent while the channel appears static?