Problem 1) [40 pts) The 2020 Mars Rover Perseverance can use a directional antenna to transmit data to Earth. The bit rate of the communication channel is 500 bits / sec. The distance between Mars and Earth varies between 55.7 x 106 km and 401.3 x 106 km. The speed of light is 3 x 108 m per sec. The data frames are 256 bytes long and acknowledgments take 6 bytes. (f) Suppose the alternating bit protocol discards any data frames that were incorrectly received after three attempts. Under the scenario described for question (le), what is the expected time it takes for one frame to be transmitted? Hint: Let T be a random variable representing the time spent by the sender on a given frame. T is a random variable because it has value Ty with probability p, T, with probability P2, and Tz with probability 1 p1 - p2', where Tz represents the time it takes the sender to transmit the data frame if it reaches the third transmission attempt. The question asks for the expected value of T, E[T]. (g) Using the values calculated in Question (1f), estimate the expected time it takes for the rover to transmit an image of size 2 MB (mega bytes) to Earth. What percentage from the image is expected to be corrupted? Problem 1) [40 pts) The 2020 Mars Rover Perseverance can use a directional antenna to transmit data to Earth. The bit rate of the communication channel is 500 bits / sec. The distance between Mars and Earth varies between 55.7 x 106 km and 401.3 x 106 km. The speed of light is 3 x 108 m per sec. The data frames are 256 bytes long and acknowledgments take 6 bytes. (f) Suppose the alternating bit protocol discards any data frames that were incorrectly received after three attempts. Under the scenario described for question (le), what is the expected time it takes for one frame to be transmitted? Hint: Let T be a random variable representing the time spent by the sender on a given frame. T is a random variable because it has value Ty with probability p, T, with probability P2, and Tz with probability 1 p1 - p2', where Tz represents the time it takes the sender to transmit the data frame if it reaches the third transmission attempt. The question asks for the expected value of T, E[T]. (g) Using the values calculated in Question (1f), estimate the expected time it takes for the rover to transmit an image of size 2 MB (mega bytes) to Earth. What percentage from the image is expected to be corrupted