In IEEE 802.11 wireless networks, when the channel becomes idle, stations must wait a certain number of time units before transmitting. The purpose of this strategy is to avoid collisions, i.e., avoid that all the stations start transmitting at the same time. Assume that an 802.11 network consists of ten stations, and each station waits for an integer number of time units that is uniformly distributed between 1 and 64. a. What is the probability that all the stations choose to wait for a different amount of time (and therefore avoid collision)? b. What is the probability that exactly two stations choose to wait for the same amount of time (and therefore collide)? c. Use simulations to verify the correctness of your answers. Please provide your code and results with your assignment. Hint: With Python, you may find the following functions to be useful: numpy.unique().