3 years ago

I need help with these three problems step by step

Mathematics

1 answer:

vichka [17]3 years ago

5 0

Answer:

Step-by-step explanation:

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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 geomet

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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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3 years ago