   Chapter 9.1, Problem 21E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

# Biology Consider a couple who have four children. Assume that it is equally likely that each child is a girl or a boy.(a) Complete the set to form the sample space consisting of 16 elements. S   =   { g g g g ,   g g g b , g g b g , .   .   . } (b) Complete the table and sketch the graph of the probability distribution, in which the random variable x is the number of children that are girls. x 0 1 2 3 4 P(x) (c) Use the table in part (b) to find the probability that at least one of the children is a bov.

(a)

To determine

All the elements to form the sample space of the set S={gggg,gggb,ggbg,...}.

Explanation

Given Information:

A couple have four children and it is equally likely to be a girl or a boy child.

The provided set is S={gggg,gggb,ggbg,...}.

Consider the set S={gggg,gggb,ggbg,...}.

The sample space will have a total number of 16 outcomes.

These outcomes are represent by the elements,

S={gggg,gggb,ggbg,gbgb,bgbg,bbgb,bbbg,bbgg,bggb,gbgg,bg</

(b)

To determine

To calculate: The values of the table and sketch the graph of the probability distribution, where the random variable x is number of girl child. The table provided is

x01234P(x).

(c)

To determine

To calculate: The probability that at least one children is a boy using the table provided in part b, the table provided is

x01234P(x)116416616416116

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 