Question

g An immunologist is studying blood disorders exhibited by people with rare blood types. It is estimated that 10% of the population has the type of blood being investigated. Volunteers whose blood type is unknown are tested one at a time. The immunologist needs 5 people to complete her study. What is the probability that she will find the fifth person for her study when she tests her tenth volunteer

Answer 1

Probability of fifth person = p (5/10)

= p (1/2)

Explanation has given below.

Explanation:

The population has the type of blood investigated = 10%

The immunologist needs five people to complete her study.

Probability of finding a 5th person when she starts tests her 10th volunteer?

Probability = p ( 10C5)

= 252%

=2.52

When she tested her 10th volunteer,

There is a 2% probability that she will find a fifth person for her study.

Another way to find out the probability of the fifth person,

When she started her 10th volunteer.

Probability of fifth person = p (5/10)

= p (1/2)