Question

People with type O-negative blood are universal donors whose blood can be safely given to anyone. Only 8% of the population have O-negative blood. A blood center is visited by 5 donors in an afternoon. What is the probability that there are no universal donors among them? Round your answer to four decimal places.

Answer 1

Answer:

$Probability = 0.6591$

Step-by-step explanation:

Given

Represent P(O-Negative) with p

So:

$p = 8\%$

Convert to decimal

$p = 0.08$

Required

Determine the probability that none out of 5 is O-Negative

First, we need to determine the probability that one person is not O-Negative

Represent this with q

$q = 1 - p$

$q = 1 - 0.08$

$q = 0.92$

To determine the probability that none out of five, we have:

$Probability = q^n$

Where

$n = 5$

So, we have:

$Probability = 0.92^5$

$Probability = 0.6590815232$

$Probability = 0.6591$ --- Approximated