Asked by
Sandra Coombs
on Oct 14, 2024
Verified
A laboratory worker finds that 1.8% of his blood samples test positive for the HIV virus.If 270 blood samples are selected at random,is it appropriate to use a Normal model to approximate the distribution of the number that test positive for the HIV virus?
A) Yes; Normal model with μ = 4.86 and σ = 4.77 can be used to approximate the distribution.
B) No; Normal model cannot be used to approximate the distribution because nq < 10.
C) Yes; Normal model with μ = 4.86 and σ = 2.18 can be used to approximate the distribution.
D) No; Normal model cannot be used to approximate the distribution because np < 10.
E) Yes; Normal model with μ = 265.14 and σ = 2.18 can be used to approximate the distribution.
Normal Model
A type of statistical distribution that is symmetric and has a bell-shaped curve, where most occurrences take place at the center of the distribution.
HIV Virus
The Human Immunodeficiency Virus (HIV) is a virus that attacks the immune system, reducing its ability to fight off other diseases and infections.
Blood Samples
Small quantities of blood taken from an individual used for medical testing, diagnosis, or research.
- Understand the uses of the Normal distribution across different situations.
- Compute probabilities by employing the Normal distribution model and ascertain the conditions under which its application is suitable.
- Analyze situations requiring the adjustment of standard distributions to fit real-life data.
Verified Answer
CP
Learning Objectives
- Understand the uses of the Normal distribution across different situations.
- Compute probabilities by employing the Normal distribution model and ascertain the conditions under which its application is suitable.
- Analyze situations requiring the adjustment of standard distributions to fit real-life data.