$5.$ In a $3\mathrm{.}5$G network, an HARQ process is configured to support a maximum of $4$ retransmissions. The initial transmission of a data packet has a probability of successful decoding of $80\%,$ and each retransmission has an independent probability of $90\%$ for successful decoding. a$.$ What is the probability that the data packet is successfully transmitted $($decoded$)$ within the maximum $4$ retransmissions? b$.$ If the transmission latency for each attempt is $2$ ms$,$ what is the expected latency $($in milliseconds$)$ for a successful transmission? $6.$ Assume a UE is allocated $4$ resource blocks for $10$ subframes, with each resource block capable of carrying data at $16-$QAM modulation. Calculate the total data transmitted by UE$1$ in bits over the $10$ subframes.