If a procedure meets all the conditions of a binomial distribution except that the number of trials is not fixed, then the geometric distribution can be used. The probability of getting the first success on the xth trial is given by Pchoosing a yellow piece of cand x = p 1 - px - 1 , where p is ty in a bag of hard candhe probability of succey is ss on any on0.204. Find the e trial. probAssuame that thbility that e probathe first yellow bility of candy is found in the fourth inspected.
A)0.103
B)0.504
C)0.065
D)0.082

Question

Quizplus · Accepted Answer

The probability of getting the first success on the xth trial is given by P(x) = p(1 - p)^x-1. In this case, p = 0.204 and x = 4, so P(4) = 0.204(1 - 0.204)^3 = 0.103.

If a Procedure Meets All the Conditions of a Binomial