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complete the following applied statistical exercises to the best of your ability after reading Chapter 2. You earn up to 4 points if it is

 complete the following applied statistical exercises to the best of your ability after reading Chapter 2. You earn up to 4 points if it is fully complete and up to 6 points if all the answers are correct.However, you will lose points if you leave questions blank.


  1. Do U.S. men and women Millennials (born after 1981) differ in their college completion rates? (Pew Research Center, 2019).


Completed a Bachelor's Degree

Gender

Yes

No

Male

36

64

Female

43

57

Total

79

121


a. Give an example of a simple event:


b. Give an example of a joint event:


c. What is the complement of "Completing a Bachelor's Degree?"



2. What is the probability that a female has completed a Bachelor's degree out of those who have completed a Bachelor's degree? (Tip: Use the probability formula)



The U.S. population by age is as follows (Statista, 2020). The data are in millions of people. Please complete the rest of the probability column, then answer 2a-2c.


Age

Number

Probability

Under 19

81.25


20 to 24

21.59


25 to 34

46.07


35 to 44

21.83


45 to 54

40.36


55 to 64

42.4


65 and over

55.62


Total

309.12

1.0000

Assume that a person will be randomly chosen from this population.

a. What is the probability the person is 20 to 24 years old?


b. What is the probability the person is 20 to 34 years old?


c. What is the probability the person is 55 years or older?


  1. A 2001 preseason NCAA football poll asked respondents to answer the question, "Will the Big Ten or the Pac-10have a team in this year's national championship game, the Rose Bowl?" The total amount of participants is 13,429 (www.Yahoo.com).



Big Ten




Yes

No

Sum


Pac-10



Yes

849

3645

4494

No

2112

6823

8935


Total

2,961

10,468

13,429


a. What is the probability that a respondent said "Yes" in that only the Big Ten would have a team in the Rose Bowl?


b. Find the probability that a respondent said "No" in that neither the Big Ten and the Pac-10 would have a team in the Rose Bowl.


c. An annual chili cookout event is enabling bets. Clients can place a bet on the top three chili recipes out of a total of 12 participants to win a prize. How many different ways are there to select the top three chili recipes in the correct order?



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