**Weeks 5 & 6 Homework** **Score:** 27/38   **8/11 answered** --- **Question 9** **3.27 Underage drinking, Part II:** We learned in Exercise 3.25 that about 69.7% of 18-20 year olds consumed alcoholic beverages in 2008. We now consider a random sample of fifty 18-20 year olds. **(a)** How many people would you expect to have consumed alcoholic beverages? *(round to one decimal place)* [Text Box] What is the standard deviation? *(round to two decimal places)* [Text Box] --- **(b)** Would you be surprised if there were 45 or more people who have consumed alcoholic beverages? - [ ] Yes, 45 is more than two standard deviations above the expected value (mean) - [ ] No, it is just as likely as any other outcome - [ ] No, 45 or more accounts for six different events -- this wouldn’t be surprising - [ ] Yes, 45 out of 50 is 90% --- **(c)** What is the probability that 45 or more people in this sample have consumed alcoholic beverages? *(round to four decimal places)* [Text Box] --- **Question Help:** [Message instructor] [Post to forum] [Submit All Parts] --- This page features a probability and statistics exercise from an educational homework assessment, asking students to calculate expected values, standard deviations, and probabilities related to underage drinking statistics.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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**Weeks 5 & 6 Homework**

**Score:** 27/38   **8/11 answered**

---

**Question 9**

**3.27 Underage drinking, Part II:** We learned in Exercise 3.25 that about 69.7% of 18-20 year olds consumed alcoholic beverages in 2008. We now consider a random sample of fifty 18-20 year olds.

**(a)** How many people would you expect to have consumed alcoholic beverages?  
*(round to one decimal place)*  
[Text Box]

What is the standard deviation?  
*(round to two decimal places)*  
[Text Box]

---

**(b)** Would you be surprised if there were 45 or more people who have consumed alcoholic beverages?  
- [ ] Yes, 45 is more than two standard deviations above the expected value (mean)
- [ ] No, it is just as likely as any other outcome
- [ ] No, 45 or more accounts for six different events -- this wouldn’t be surprising
- [ ] Yes, 45 out of 50 is 90%

---

**(c)** What is the probability that 45 or more people in this sample have consumed alcoholic beverages?  
*(round to four decimal places)*  
[Text Box]

---

**Question Help:** [Message instructor] [Post to forum]

[Submit All Parts]

---

This page features a probability and statistics exercise from an educational homework assessment, asking students to calculate expected values, standard deviations, and probabilities related to underage drinking statistics.
Transcribed Image Text:**Weeks 5 & 6 Homework** **Score:** 27/38   **8/11 answered** --- **Question 9** **3.27 Underage drinking, Part II:** We learned in Exercise 3.25 that about 69.7% of 18-20 year olds consumed alcoholic beverages in 2008. We now consider a random sample of fifty 18-20 year olds. **(a)** How many people would you expect to have consumed alcoholic beverages? *(round to one decimal place)* [Text Box] What is the standard deviation? *(round to two decimal places)* [Text Box] --- **(b)** Would you be surprised if there were 45 or more people who have consumed alcoholic beverages? - [ ] Yes, 45 is more than two standard deviations above the expected value (mean) - [ ] No, it is just as likely as any other outcome - [ ] No, 45 or more accounts for six different events -- this wouldn’t be surprising - [ ] Yes, 45 out of 50 is 90% --- **(c)** What is the probability that 45 or more people in this sample have consumed alcoholic beverages? *(round to four decimal places)* [Text Box] --- **Question Help:** [Message instructor] [Post to forum] [Submit All Parts] --- This page features a probability and statistics exercise from an educational homework assessment, asking students to calculate expected values, standard deviations, and probabilities related to underage drinking statistics.
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