**Problem Statement:**In a certain town, it is known that:- 16% of families have no children,- 34% have 1 child,- 23% have 2 children,- 17% have 3 children,- 5% have 4 children, and- 5% have 5 or more children.**Question:**What is the probability that a family has more than 2 children if it is known that it has at least 1 child? (Round to the nearest hundredth of a percent.)**Solution:**First, we need to find the percentage of families that have at least 1 child:- 34% (1 child) +- 23% (2 children) +- 17% (3 children) +- 5% (4 children) +- 5% (5 or more children) =- Total = 84%Next, we calculate the percentage of families that have more than 2 children:- 17% (3 children) +- 5% (4 children) +- 5% (5 or more children) =- Total = 27%Finally, the probability that a family has more than 2 children, given it has at least 1 child, is calculated using conditional probability:\[ P(\text{More than 2 children | At least 1 child}) = \frac{\text{% with more than 2 children}}{\text{% with at least 1 child}} = \frac{27\%}{84\%} \]Calculate and round to the nearest hundredth of a percent:\[ \frac{27}{84} \approx 0.3214 \] or 32.14%Therefore, the probability is **32.14%**.

Name: **Problem Statement:**In a certain town, it is known that:- 16% of fa
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Description: **Problem Statement:**In a certain town, it is known that:- 16% of families have no children,- 34% have 1 child,- 23% have 2 children,- 17% have 3 children,- 5% have 4 children, and- 5% have 5 or more children.**Question:**What is the probability th

Math

Probability

In a certain town it is known that 16% of families have no children, 34% have 1 child, 23% have 2 children, 17% have 3 children, 5% have 4 children, and 5% have 5 or more children. What is the probability that a family has more than 2 children if it is known that it has at least 1 child? (Round to the nearest hundredth of a percent)

In a certain town it is known that 16% of families have no children, 34% have 1 child, 23% have 2 children, 17% have 3 children, 5% have 4 children, and 5% have 5 or more children. What is the probability that a family has more than 2 children if it is known that it has at least 1 child? (Round to the nearest hundredth of a percent)

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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