3.69 .6 How do you prefer to get the news? Today, you have numerous options for getting the news: print (via a news- paper or magazine), television (through local, network, or cable channels), the Internet (through websites, apps, or social media) or radio. A Pew Internet Research study (December 2018) asked a sample of Americans their pre- ferred mode of news consumption: watching, reading, or listening. Then, within each mode, the survey asked for the most preferred platform: TV, online, radio, or print. Based on the survey results, the following table of probabilities was constructed. Each probability represents the prob- ability of the preferred mode with the preferred platform (e.g., the probability of watching on TV or the probability of reading online). Platform Mode Watch Read Listen TV .35 .04 .05 Online Radio .10 .01 .21 .03 .03 .10 Print .01 .06 .01 a. Verify that the probabilities in the table sum to 1. b. Find the probability that the preferred mode/platform for getting the news is listening to the TV. c. Find the probability that the preferred mode/platform for getting the news is reading online.

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3,69
.6
How do you prefer to get the news? Today, you have
numerous options for getting the news: print (via a news-
paper or magazine), television (through local, network,
or cable channels), the Internet (through websites, apps,
or social media) or radio. A Pew Internet Research study
(December 2018) asked a sample of Americans their pre-
ferred mode of news consumption: watching, reading, or
listening. Then, within each mode, the survey asked for the
most preferred platform: TV, online, radio, or print. Based
on the survey results, the following table of probabilities
was constructed. Each probability represents the prob-
ability of the preferred mode with the preferred platform
(e.g., the probability of watching on TV or the probability
of reading online).
Platform Mode
Watch
Read
Listen
TV
.35
.04
.05
Online Radio
.01
.03
.10
.10
.21
.03
Print
.01
.06
.01
a. Verify that the probabilities in the table sum to 1.
b. Find the probability that the preferred mode/platform
for getting the news is listening to the TV.
c. Find the probability that the preferred mode/platform
for getting the news is reading online.
d. Find the probability that the preferred mode for getting
the news is watching.
e. Find the probability that the preferred platform for get-
ting the news is online.
f. Given that the preferred mode is watching, what is the
probability that the preferred platform is TV?
g. Given that the preferred platform is online, what is the
probability that the preferred mode is reading?
Transcribed Image Text:3,69 .6 How do you prefer to get the news? Today, you have numerous options for getting the news: print (via a news- paper or magazine), television (through local, network, or cable channels), the Internet (through websites, apps, or social media) or radio. A Pew Internet Research study (December 2018) asked a sample of Americans their pre- ferred mode of news consumption: watching, reading, or listening. Then, within each mode, the survey asked for the most preferred platform: TV, online, radio, or print. Based on the survey results, the following table of probabilities was constructed. Each probability represents the prob- ability of the preferred mode with the preferred platform (e.g., the probability of watching on TV or the probability of reading online). Platform Mode Watch Read Listen TV .35 .04 .05 Online Radio .01 .03 .10 .10 .21 .03 Print .01 .06 .01 a. Verify that the probabilities in the table sum to 1. b. Find the probability that the preferred mode/platform for getting the news is listening to the TV. c. Find the probability that the preferred mode/platform for getting the news is reading online. d. Find the probability that the preferred mode for getting the news is watching. e. Find the probability that the preferred platform for get- ting the news is online. f. Given that the preferred mode is watching, what is the probability that the preferred platform is TV? g. Given that the preferred platform is online, what is the probability that the preferred mode is reading?
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