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A trial generates only two results, "success" and "failure." The probability of success is higher than that of failure. The variance of the number of failures in 20 trials equals 2.35. The probability of success on a given trial equals ________.
Correct Answer: B
For a binomial distribution with N trials, with the probability of success = p in each trial, the variance equals Np(1-p). Hence, 20 x p x (1 - p) = 2.35. Solving this gives quadratic equation gives p = 0 .136 or p = 0.864.