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In a press release dated October 2, 2008, The National Cyber Security Alliance reported that approxi- mately 80% of adult Americans who own a computer claim to have a firewall installed on their computer to prevent hackers from stealing personal information. This estimate was based on a survey of 3000 people. It was also reported that in a study of 400 computers, only about 40% actually had a firewall installed.
a. Suppose that the true proportion of computer owners who have a firewall installed is .80. If 20 computer owners are selected at random, what is the probability that more than 15 have a firewall installed?
b. Suppose that the true proportion of computer owners who have a firewall installed is .40. If 20 computer owners are selected at random, what is the probability that more than 15 have a firewall installed?
c. Suppose that a random sample of 20 computer own- ers is selected and that 14 have a firewall installed. Is it more likely that the true proportion of computer owners who have a firewall installed is .40 or .80? Justify your answer based on probability calculations.
1. What do discrete random variables describe? 2. Explain joint probability. 3. Explain conditional probability.
Tom Sevits is the owner of the Appliance Patch. Recently Tom observed a difference in the dollar value of sales between the men and women he employs as sales associates.
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