Mathematics: Answer this question please:

Answer this question please: - id6309258, peteh5

apere655

24.05.2023

The probability that the first subject to be a universal blood donor is the seventh person selected is 0.0511

Step-by-step explanation:

Let's start defining the random variable X.

X : ''The first success is on the xth trial''

X can be modeled as a geometric random variable with the following probability function :

$P(X=x)=p(1-p)^{x-1}$

Where P(X=x) is the probability of the random variable X to assumes the value ''x''.

The variable p is the success probability.

For this exercise, we define a success as someone randomly selected is a universal donor and that probability is p=0.09

We are looking for : P(X=7)

The probability function is :

$P(X=x)=(0.09)(0.91)^{x-1}$

$P(X=7)=(0.09)(0.91)^{7-1}=(0.09)(0.91)^{6}=0.0511$

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