(Solved): 1. After you have learned about discrete random variables and cumulative density function, you are ...
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 X that is 1 if the outcome is heads, and 0 if tails on a trial. Assuming p denotes the probability of heads coming up on any experiment, and that each experiment is independent and identically(iid) distributed, derive the pmf and cdf of the random variable Y, that is defined as: Y= the number of flips required to obtain the first head. 2.For the random variables defined above, calculate E[X] and E[Y].