Homework Help is Here – Start Your Trial Now!
Math
Statistics
a) What is the mean of the binomial distribution, rounded to two decimal places? b) What is the standard deviation of the binomial distribution, rounded to four decimal places? c) The probability that 180 to 215, inclusive, will say that football is their favorite sport to watch on television is approximately, rounded to four decimal places, is: d) The probability that 193 or more will say that football is their favorite sport to watch on television, rounded to four decimal places, is approximately:

a) What is the mean of the binomial distribution, rounded to two decimal places? b) What is the standard deviation of the binomial distribution, rounded to four decimal places? c) The probability that 180 to 215, inclusive, will say that football is their favorite sport to watch on television is approximately, rounded to four decimal places, is: d) The probability that 193 or more will say that football is their favorite sport to watch on television, rounded to four decimal places, is approximately:

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
Certainly! Here is a transcription and explanation of the given content suitable for an educational website: --- **We know that football is the favorite sport to watch on television for 36% of adults in the United States. Suppose we take a random sample of 522 adults and obtain their opinions on their favorite sport to watch on television.** **Questions:** **a) What is the mean of the binomial distribution, rounded to two decimal places?** **b) What is the standard deviation of the binomial distribution, rounded to four decimal places?** **c) The probability that 180 to 215, inclusive, will say that football is their favorite sport to watch on television is approximately, rounded to four decimal places, is:** **d) The probability that 193 or more will say that football is their favorite sport to watch on television, rounded to four decimal places, is approximately:** **Options:** 1. 10.9667 2. 0.3121 --- The questions explore the application of a binomial distribution to understand the probability and distribution characteristics of football being the favorite sport among sampled adults. The questions break down into calculating the mean, standard deviation, and specific probability ranges within the sample, emphasizing statistical concepts in probability theory.
Transcribed Image Text:Certainly! Here is a transcription and explanation of the given content suitable for an educational website: --- **We know that football is the favorite sport to watch on television for 36% of adults in the United States. Suppose we take a random sample of 522 adults and obtain their opinions on their favorite sport to watch on television.** **Questions:** **a) What is the mean of the binomial distribution, rounded to two decimal places?** **b) What is the standard deviation of the binomial distribution, rounded to four decimal places?** **c) The probability that 180 to 215, inclusive, will say that football is their favorite sport to watch on television is approximately, rounded to four decimal places, is:** **d) The probability that 193 or more will say that football is their favorite sport to watch on television, rounded to four decimal places, is approximately:** **Options:** 1. 10.9667 2. 0.3121 --- The questions explore the application of a binomial distribution to understand the probability and distribution characteristics of football being the favorite sport among sampled adults. The questions break down into calculating the mean, standard deviation, and specific probability ranges within the sample, emphasizing statistical concepts in probability theory.
Expert Solution
Step 1: Determine the given data in the question

Let X be the random variable the no. of adults in the US.

p be the population proportion of adults in the US.

Given that,

Population proportion left parenthesis p right parenthesis equals 36 percent sign equals 0.36

No. of adults left parenthesis n right parenthesis equals 522

Here X tilde b i n left parenthesis n equals 522 comma p equals 0.36 right parenthesis


steps

Step by step

Solved in 3 steps with 15 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS