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

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) (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

RELATED QUESTIONS
In a particular binomial experiment, the probability of a success on a single trial is... (answered by checkley79)

A binomial experiment consists of 18 trials. The probability of success on trial 11 is... (answered by greenestamps)

A binomial experiment consists of 13 trials. The probability of success on trial 6 is... (answered by math_tutor2020)

For a binomial experiment with 410 successes out of 850 trials, what is a point estimate... (answered by stanbon)

Consider a binomial experiment with 20 trials and probability 0.50 of success on a single (answered by robertb)

Consider a binomial experiment with n 5 7 trials where the probability of success on a... (answered by ikleyn)

Consider a binomial experiment with n=6 trials where the probability of success on a... (answered by Edwin McCravy)

Consider a binomial experiment with n=6 trials where the probability of success on a... (answered by ikleyn)

you perform a binomial experiment that consists of 20 trials with a probability of 27%... (answered by ewatrrr)