It has been determined that a disease affects 0.2% of a given population.We perform screening tests randomly, with replacement, in the population in question which is2000 people. Let X be the number of sick people, according to the test. 1) Explain why we can approximate X by a Poisson distribution, for which you will give the parameter λ.   2)Using a Poisson distribution, calculate the probability of finding at least 1 affected person in this group of 2000 people?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
icon
Related questions
Question

It has been determined that a disease affects 0.2% of a given population.
We perform screening tests randomly, with replacement, in the population in question which is
2000 people. Let X be the number of sick people, according to the test.

1) Explain why we can approximate X by a Poisson distribution, for which you will give the parameter λ.

 

2)Using a Poisson distribution, calculate the probability of finding at least 1 affected person in this group of 2000 people?

Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill