This Question: 1 pt 4016(1 complete) This Quiz: 8 pts possibl A study conducted

Question

This Question: 1 pt 4016(1 complete) This Quiz: 8 pts possibl A study conducted on people's main source of news was based on 250 respondents between the ages of 36 to 50 years and 250 respondents who were over age 50. Of the 250 respondents who were between the ages of 36 and 50, 83 got their news primarily from newspapers Of the 250 respondents who were over Newspapers 36 50 Over 50 Total age 50, 199 got their news primarly from newspapers. Complete parts (a) through (d) Age of Respondents Yes No Total 199 51 250250 83 167 282 218 500 a. What is the probability that an Indvidual respondent got news primarily from newspapers? (Round to three decimal places as needed) b. What is the probability that an Individual respondent is over 50 years old? (Round to three decimal places as needed) c. What is the probability that an individual respondent got news primarily from newspapers or is over 50 years old? Round to three decimal places as needed) d. Explain the difference in the results in (b) and (c) O A. The probability in part (b) is a joint probability, while the event in part (c) is a simple probublity O B. The probabilty in part (b) is a marginal probabilily,while the probabilty in part (c) is a joint probablity O C. The two events in part (c) are collectively exhaustive, while the event in part (b) is not O D. The two events in part (c) are mutually exclusive, but part (b) has only one event Click to select your answor(s). @ # 0@ " "1 x BRING HOME FAS DESIGN

Explanation / Answer

Total number = 500

a. Probability that an individual respondent got news primarily from newspapers

= 282 / 500

= 0.564

b. Probability that an individual respondent is over 50 years old

= 250 / 500

= 0.5

c. Probability that an individual respondent got news primarily from newspapers or is over 50 years old

= (83 + 199 + 51) / 500

= 333/500

= 0.666

d. Strangely, none of the options are correct! The two events are neither collectively exhaustive nor mutually exclusive. (c) is not joint probability.

Therefore, the best answer is the meaningless a.

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