(a) Independent Bernoulli trials are performed, with probability 1/2 of success, until there has been at least one success. Find the PMF of the number of trials performed. (b) Independent Bernoulli...

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(a) Independent Bernoulli trials are performed, with probability 1/2 of success, until there has been at least one success. Find the PMF of the number of trials performed. (b) Independent Bernoulli trials are performed, with probability 1/2 of success, until there has been at least one success and at least one failure. Find the PMF of the number of trials performed.

Answered Same DayDec 26, 2021

Answer To: (a) Independent Bernoulli trials are performed, with probability 1/2 of success, until there has...

David answered on Dec 26 2021
140 Votes
1
Solution
a) It is apparent that each of the trial performed is independent event
and therefo
re, N would be termed as geometric.
Further, no limit has been specified for the number of trials and
hence, trial would be stopped as the first success is achieved.
Therefore,
( )
* 4, 5…………..} ...
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