SOLUTION: Please help me solve this question: {{Five independent trials of an experiment are carried out. The probability of a successful outcome is p and the probability of failure is q = 1

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Question 1034167: Please help me solve this question: {{Five independent trials of an experiment are carried out. The probability of a successful outcome is p and the probability of failure is q = 1 - p. Write out the probability distribution of x, where x is the number of successful outcomes in five trials.}}
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
This is a binomial experiment repeated n = 5 times with probability of success p.
Hence it follows the binomial pmf p%28x%29+=+%28matrix%282%2C1%2C5%2Cx%29%29%2Aq%5E%285-x%29%2Ap%5Ex.