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(Solved): 1. After you have learned about discrete random variables and cumulative density function, you are ...



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1. After you have learned about discrete random variables and cumulative density function, you are curious regarding a certain experiment. You wonder, if you were to define a random variable that is 1 if the outcome is heads, and 0 if tails on a trial. Assuming denotes the probability of heads coming up on any experiment, and that each experiment is independent and identically(iid) distributed, derive the and of the random variable , that is defined as: the number of flips required to obtain the first head. 2.For the random variables defined above, calculate and .


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