Information Security Buzz provides news for the information security community. In an article published on September 24, 2016, it reported that based on a large international survey of Internet users, 60% of Internet users have installed security solutions on all of the devices they use to access the Internet (informationsecuritybuzz.com /articles/21-29-60-kaspersky-lab-presents-first -cybersecurity-index/, retrieved May 2, 2017).

a. Suppose that the true proportion of Internet users who have security solutions on all the devices they use to access the Internet is 0.60. If 20 Internet users are selected at random, what is the probability that more than 10 have security solutions installed on all devices used to access the Internet?

b. Suppose that a random sample of 20 Internet users is selected. Which is more likely—that more than 15 have security solutions on all devices used to access the Internet or that fewer than 5 have security solutions on all devices used to access the Internet? Justify your answer based on probability calculations.