If a procedure meets all of the conditions of a binomial distribution except 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 ​P(x)equals=p left parenthesis 1 minus p right parenthesis Superscript x minus 1p(1−p)x−1​, where p is the probability of success on any one trial. Subjects are randomly selected for a health survey. The probability that someone is a universal donor​ (with group O and type Rh negative​ blood) is 0.15. Find the probability that the first subject to be a universal blood donor is the sixth person selected. The probability is?

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If a procedure meets all of the conditions of a binomial distribution except 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
​P(x)equals=p left parenthesis 1 minus p right parenthesis Superscript x minus 1p(1−p)x−1​,
where p is the probability of success on any one trial. Subjects are randomly selected for a health survey. The probability that someone is a universal donor​ (with group O and type Rh negative​ blood) is
0.15.
Find the probability that the first subject to be a universal blood donor is the
sixth
person selected.
The probability is?
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