MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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.
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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
Check Mark
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


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