Question

31 - 55 25 over 33 70 1. A polling organization talks to several people concerning what is their preferred method of obtaining political news. 56 and The table breaks the information by age. Printed Publication Television a. [3] What proportion of respondents where age 31 to 55 or preferred to get political news via internet sources? P (A or B) P(A) + P (B) +0.4342 18-30 12 5 58 27 29 40 22 72 109 Internet Sources 75 81 95 251 0. 3227 - 0.7569 b. [3] of the respondents that preferred to get political news via printed publication what percentage where 56 and over? 3311 33 70 0.47 14 47% of the respodents that preferred to get political newe via printed publication were 56 TTTTTTT years and older. c. (3) Show that the events a person is 18 to 30, a person prefers to get political news via television are not independent events. 18 to P(A and B) to = 0.2988 P(A)= 75 251 "P (B) = 22 - POLI 0:2869 about 9% of 18-30 18-30 years olds prefer get political news so these 1 251 > (A and B) = 0.0857

Answer 1

Please don't hesitate to give a "thumbs up" for the answer in case the answer has helped you

a.

P(respondants where age 31-55 or preferred to get political news via Internat sources)

= P(A) + P(B) - P(A and B)
= (81/251) + (109/251) - (29/251)
= 0.6414

Answer: 0.6414

b. P(given pre is Int.sources, were aged 56 and over)
= 33/70
= .4714

Answer: 0.4714

c.

Concept: Events are independent only if P(A and B)= P(A)*P(B)

Let A be event of a person being in the age group of 18-30
Let B be event of a person who prefers via tele

So, P(A and B) = 5/251 = 0.0199
P(A) = 75/251
P(B) = 72/251
P(A)*P(B) = 75*72/251^2 = 0.0857

So, P(A and B) is not equal to P(A)*P(B)

Answer: Hence, these 2 events ARE NOT INDEPENDENT