Over the past decade, the mean number of hacking attacks experienced by members of the Information Systems Security Association is 510 per year with a standard deviation of 14.28 attacks. The number of attacks per year is normally distributed. Suppose nothing in this environment changes.
a. What is the likelihood this group will suffer an average of more than 600 attacks in the next 10 years?
b. Compute the probability the mean number of attacks over the next 10 years is between 500 and 600.
c. What is the possibility they will experience an average of less than 500 attacks over the next 10 years?