How do you prefer to get the news? Today, you have numerous options for getting the news: print (via a newspaper 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 preferred 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 probability of the preferred mode with the preferred platform (e.g., the probability of watching on TV or the probability of reading online). Platform Mode TV Online Radio Print Watch .35 .10 .01 .01 Read .04 .21 .03 .06 Listen .05 .03 .10 .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 getting 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?