Describe the difference between the value ofx in a binomial distribution and in

Question

Describe the difference between the value ofx in a binomial distribution and in a geometric distribution. Choose the correct answer below. O A. In a binomial distribution, the value ofx represents the number of successes in n trials, while in a geometric distribution, the value ofx represents the first trial that results in a success. O B. In a binomial distribution, the value ofx represents the number of occurrences in one interval, while in a geometric distribution, the value o represents the number of successes in n trials. O C. In a binomial distribution, the value ofx represents the first trial that results in a success, while in a geometric distribution, the value ofxrepresents the number of successes in n trials. O D. In a binomial distribution, the value ofx represents the number of successes in n trials, while in a geometric distribution, the value ofx represents the number of occurrences in one interval

Explanation / Answer

Difference between binomial distribution and geometric distribution -
A. In a binomial distribution, the value of x represents the number of successes in n trials, while in a geometric distribution, the value of x represents the first trail that results in a success

p = 0.15
(a) mean mu = 0.15 * 4 = 0.6
(b) variance = npq = 4*0.15*0.85 = 0.51
(c) std. dev. = sqrt(npq) = sqrt(0.51) = 0.71
(d) On average 0.6 eligible adults out of every 4 gives blood. The stadard deviation is 0.71 so in most samples of four eligible adults, the number of adults who donate blood would differ from the average number by more than 0.71.

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