6% of male are color-blind. Find the probability that the first color-blind will be found among the first 5 men tested.

UkusakazaL

UkusakazaL

Answered question

2021-08-10

6% of male are color-blind. Suggest a male groub is randomly selected and tested, find the probability that the first color-blind will be found among the first 5 men tested.

Answer & Explanation

Rivka Thorpe

Rivka Thorpe

Beginner2021-08-04Added 3 answers

Geometric probability formula:
P(X=k)=qk1p=(1p)k1p
p=6%
k=1, 2, 3, 4, 5:
P(X=1)=(10.06)11(0.06)=0.940(0.06)=0.06
P(X=1)=(10.06)21(0.06)=0.941(0.06)=0.0564
P(X=1)=(10.06)31(0.06)=0.942(0.06)=0.053016
P(X=1)=(10.06)41(0.06)=0.943(0.06)=0.049835
P(X=1)=(10.06)51(0.06)=0.944(0.06)=0.0468449
P(A or B)=P(A)+P(B). So,
P(X5)=P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)
=0.06+0.0564+0.053016+0.049835
=0.2660959
=26.60959%

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Upper level probability

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?