Question

What does the random variable (r) for a binomial experiment of n trials represent? Select one: a. Can not be determined from information given. b. The number of failures c. The total number of chances d. The number of success

Answer 1

A Binomial Distribution provides us the probabilities associated with independent, repeated Bernoulli trials. In a binomial distribution the chances of interest are those of getting a definite number of successes (r) in (n) independent trials each taking only two likely outcomes and the equal probability (p) of success. In general, p = probability of success and q = 1 –p = probability of failure, the probability of a specific order of outcomes where there are r successes and n-r failure is
`p^(r)`
`q^(n-r)`. Therefore, the random variable (r) for a binomial experiment of n trial present as the number of success.