Probablity question please help and solve on paper

1) (22 points) Assume that a pager sends the same message repeatedly until it is rst received by the intended receiver (a success!). The trials are assumed independent from each other. a) Name and give the PMF expression that describes the number of times, 11, the message needs to be sent by the sender for success. b) Let the probability of a successful transmission on a given trial, p be 0.75. What is the minimum value of n so that you are 95% (or more) sure that the message is received at the receiving end? 0) Rather than checking if the message has been received and stopping at that point, now the pager sends it n times ( a set value) regardless. Name and give the PMF that describes the number of times, Hi, the receiver receives the paging message in 11 trials. 2) (12 points) How many different 5 bit binary code words can be written as in 10101? How many different code words can be written if there needs to be exactly three bits of zeros? At least one bit of zero? No zeros