a) Among diabetics, the fasting blood glucose level is assumed to be normally distributed with mean 110 milligrams per 100 millimeters and standard deviation 3 milligrams per 100 millimeters. Suppose a diabetic was randomly selected. i} Find the probability that the person has a blood glucose level not more than 140 mgHOD ml. {3 marks) ii} Find the value it where 30% of all diabetics have fasting blood glucose level of this value or lower. (3 marks) b) A website receives hits a rate of 300 perhour. The website will go down if there are more than 7'0 hits in 10 minutes. Using a suitable approximation, nd the probability that the website will go down in a particular 10 minutes interval. (4 marks}