Question: McAfee is testing new counter-cyber-attack software and has selected 200 computers at different government agencies and critical infrastructure sites to test this software. Based on

McAfee is testing new counter-cyber-attack software and has selected 200 computers at different government agencies and critical infrastructure sites to test this software. Based on past experience with this type of new software, the firm believes that the probability is .3 that the software will successfully block all cyber-attacks. The result for one computer is independent of that for another computer.

Compute the expected number of computers that will ward off all attacks with the installation of the new software.
Compute the standard deviation and variance of this probability distribution.
What is the probability that at least 80 computers will block all cyber-attacks with this new software?

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