SOLUTION: Given a binomial experiment where the probability of success on a single trial is 25% and the experiment is repeated 4 times, and where the number of successes is counted, perform

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Question 1127101: Given a binomial experiment where the probability of success on a single trial is 25% and the experiment is repeated 4 times, and where the number of successes is counted, perform the following calculations:
-Make a complete probability distribution table of this experiment. List every possible value of X and the corresponding probability.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Pascal's triangle for 4 runs
1 has 0 successes 4 failures. That would be 0.3164 or 0.75^4
4 has 1 success 3 failures That would be 0.25*0.75^3*4 or 0.4219
6 has 2 successes 2 failures That would be 0.25^2*0.75^2*6 or 0.2109
4 has 3 successes 1 failure That would be 0.25^3*0.75*4 or 0.0469
1 has 4 successes 0 failures. That would be 0.25^4 or 0.0039