please solve all the parts. I need solution ASAP

1. You work [or a company that designs the communication system for an upcoming manned space mission to Mars. The system transmits IP packets that are 1500 bytes long, where each byte consists of 8 bits. The transmissions are plagued by errors due to interference from solar ares. Your task is to compute the performance of the system for management. who is completely ignorant of probability theory1 but anyways need to make decisions on how much to invest in better hardware to meet the system requirements. (8.} Assuming that bit error occur independently in the packet transmission. with probability 105. A packet error occurs if one or several bit errors occur in the packet. Compute the packet error probability. (21:) (h) Solar are activity varies in intensity. which in turn affects the bit error probability. Suppose that the hit error probability is 10'13 when there is low solar are activity and Ill"1 when there is high activity. Argonne that the solar are activity level is constant over the traimlnhision time for a data packet. and that bit errors occur independently over a packet. Compute the packet error prolnibillty when the probability for low solar are activity is 0.9. (3p) [(5) if a data packet from the space craft to the Earth station is received error-free, then the Earth station informs the space craft of this by sending a positive acknowledgment (ACK) packet to the space craft. (in the other hand. if the data packet is receiver! with bit errors, the Earth station sends a negative acknowledgment (NACK) packet to the space craft. Upon receiving a HACK, the space craft retransmits the original data packet. Upon receiving an ACK. the space craft moves on to sending the next data packet. Suppose that ACK/NACK packets are transmitted error-free, while data packets experience independent errors with probability 0.2. What is the average number of times a packet needs to be transmitted before it is received without errors? (3p) (d) Under the same conditions as in Part {B}. what is the probability that at least 3 transmissions are needed? (Note that the "number of transmissions" is the total nmnber ol' transmissions from the spare craft to the Earth station: the rst transmission plus any additional retransniissions}. [2m (e) Repeat Parts (c) andtd) when errors occur in ACK [MACK packets with probability 0.1. If the space station receives a ACKfNACK packet in error. it will mtrsnsmit the original data packet. Assume that all packet errors (data packet errors as well as ACK/NACK packet error) occur independently. (4p)