1. 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 14.23 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 overthe next 10 years is between 500 and 600. E. what is the possibility they will experience an average of less than 5013 attacks over the next 10 years? 2. Human Resource Consulting {HRCJ surveyed a random sample of 60 Twin Cities construction companies to find information on the costs of their health care plans. One of the items being tracked is the annual deductible that employees must pay. The Minnesota Department of Labor reports that historically the mean deductible amount per employee is $502 with a standard deviation of 5100. A. Compute the standard error ofthe sample mean for HRC. B. What is the chance HRC finds a sample mean between $4??? and $527? C. Calculate the likelihood that the sample mean is between $492 and $512. D. What is the probability the sample mean is greater than $550? 3. A recent study by the Greater Los Angeies Taxi Drivers Association showed that the mean fare charged forseryice from Hermosa Beach to Los Angeies International Airport is $25 and the standard deviation is 53.50. We select a sample of15 fares. in. What is the likelihood that the sample mean is between $24 and 52?? B. What must you assume to make the above calculation? 4. In the United States, the mean age of men when they marry forthe first time follows the normal distribution with a mean of 29 years. The standard deviation ofthe distribution is 2.5 years. For a random sample of 60 men, what is the likelihood that the age when they were rst married is less than 29.3. years? 5. In a certain section of Southern California, the distribution of monthly rent for a one bedroom apartment has a mEan of52,200 and a standard deviation of 5250. The distribution of the monthly rent does not follow the normal distribution. in fact, it is positively skewed. What is the probability of selecting a sample of SD onebedroom apartments and finding the mean to be at least $1.950 per month