3. Sharp Shooter: Assume a dart board containing 5 concentric circles, labeled from 1 to 5. The diameter of the first circle is 40 px, and the diameter of each outer circle is 40px greater than its inner circle. Assume that the person throws the dart lands uniformly within the dart board. (a) Find the probability that the dart thrown inside the outer most circle. (b) Find the probability that the dart thrown is outside the 3rd circle but inside the 4th circle.

3. Sharp Shooter: Assume a dart board containing 5 concentric circles, labeled from 1 to 5. The diameter of the first circle is 40 px, and the diameter of each outer circle is 40px greater than its inner circle. Assume that the person throws the dart lands uniformly within the dart board. (a) Find the probability that the dart thrown inside the outer most circle. (b) Find the probability that the dart thrown is outside the 3rd circle but inside the 4th circle.

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Description: 3.Sharp Shooter: Assume a dart board containing 5 concentric circles, labeled from 1 to 5.The diameter of the first circle is 40 px, and the diameter of each outer circle is 40px greater than its innercircle. Assume that the person throws the dart l

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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3.
Sharp Shooter: Assume a dart board containing 5 concentric circles, labeled from 1 to 5.
The diameter of the first circle is 40 px, and the diameter of each outer circle is 40px greater than its inner
circle. Assume that the person throws the dart lands uniformly within the dart board.
(a)
Find the probability that the dart thrown inside the outer most circle.
(b)
Find the probability that the dart thrown is outside the 3rd circle but inside the 4th circle.
(c)
person wins if they shoot in a lower circle than their oponent. Find the probability person 1 wins.
Simulate this problem using the code given. (Conduct this experiment many times and find the pro-
portion/probability where Player 1 wins.)
Assume 2 people are playing darts and the dart can land uniformly on the dart board. A

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