5. A swim club offers swimming lessons to children in the local community free of charge each Friday evening. For safety reasons, they try to keep the classes small -- always fewer than 9 students per class and always an even number of students (so that each child can have a buddy). The historical data from the last several years suggests that there is a 10% chance of the class having only 2 children, a 30% |chance of 4 children, and a 40% chance of 6 children. Complete the following table to compute the answers below it. Enrollment (X) P(X) 2 kids 0.1 4 kids 0.3 6 kids 8 kids 0.4 ТОTAL a. What is the likelihood of a class enrolling 8 children? b. Find the average number of students we would expect to be enrolled in a given class. c. Find the associated standard deviation.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...
icon
Related questions
Topic Video
Question

please help

5. A swim club offers swimming lessons to children in the local community free of charge each Friday
evening. For safety reasons, they try to keep the classes small -- always fewer than 9 students per class
and always an even number of students (so that each child can have a buddy). The historical data from
the last several years suggests that there is a 10% chance of the class having only 2 children, a 30%
|chance of 4 children, and a 40% chance of 6 children.
Complete the following table to compute the answers below it.
Enrollment (X)
P(X)
2 kids
0.1
4 kids
0.3
6 kids
8 kids
0.4
ТОTAL
a. What is the likelihood of a class enrolling 8 children?
b. Find the average number of students we would expect to be enrolled in a given class.
c. Find the associated standard deviation.
Transcribed Image Text:5. A swim club offers swimming lessons to children in the local community free of charge each Friday evening. For safety reasons, they try to keep the classes small -- always fewer than 9 students per class and always an even number of students (so that each child can have a buddy). The historical data from the last several years suggests that there is a 10% chance of the class having only 2 children, a 30% |chance of 4 children, and a 40% chance of 6 children. Complete the following table to compute the answers below it. Enrollment (X) P(X) 2 kids 0.1 4 kids 0.3 6 kids 8 kids 0.4 ТОTAL a. What is the likelihood of a class enrolling 8 children? b. Find the average number of students we would expect to be enrolled in a given class. c. Find the associated standard deviation.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Research Design Formulation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL