In a communication tower, let k be the number of active (non-silent) speakers in a group of six non-interacting (i.e., independent) speakers. Suppose that a speaker is active with probability 1/4. Compute the following 1. Using the appropriate mathematical formulas to find the probability that the number of active speakers is greater than three. 2. Using MATLAB to simulate the random experiment and validate the results evaluated in 1. 3. Plot the probability density function of the random variable k.

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