Asked by
Shelby Lynn Dobbertin
on Dec 01, 2024
Verified
An archer is able to hit the bull's eye 74% of the time.If she shoots 130 arrows in a competition,is it appropriate to use a Normal model to approximate the distribution of the number of bull's-eyes? Assume that shots are independent of each other.
A) Yes; Normal model with μ = 33.8 and σ = 25.01 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 = 96.2 and σ = 5.00 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 = 96.2 and σ = 25.01 can be used to approximate the distribution.
Normal Model
A statistical model that assumes data follows a normal distribution, characterized by a symmetric bell-shaped curve.
Bull's-Eye
The center of a target, often used metaphorically to indicate a perfect or precise achievement.
Independent
Not influenced or controlled by others, often used to describe variables in experiments that are manipulated to observe effects on dependent variables.
- Interpret the applications of the Normal distribution in various contexts.
- Calculate probabilities using the Normal model and determine when its use is appropriate.
- Apply binomial and Normal distribution concepts to practical examples.
Verified Answer
TF
Learning Objectives
- Interpret the applications of the Normal distribution in various contexts.
- Calculate probabilities using the Normal model and determine when its use is appropriate.
- Apply binomial and Normal distribution concepts to practical examples.