Let us assume that the blood sugar levels of a person follows a normal curve with an average of 4.7mmol/L and a standard deviation of 1.4. In 2014, it is estimated that 8.5% of people around the world has diabetes. For the following questions, please 1) indicate whether the distribution to be used in answering the problem is a normal distribution, and if yes, 2) solve for the probability being asked. (5 points for reasoning if the shape of the distribution is normal, 5 points in getting the probability) 1. The probability of getting a random person with a high blood sugar level greater than 7mmol/L. 2. The probability of getting a random sample of 150 people with less than 10% having diabetes. 3. The probability of getting a random sample of 60 people with less than 9% having diabetes. 4. The probability of getting a random sample of 150 people with a mean blood sugar level less than 5mmol/L. 5. The probability of getting a random sample of 25 people with a mean of blood sugar level greater than 4.5mmol/L. A group of researchers wanted to instead estimate the proportion of people with type 2 diabetes worldwide. In a random sample of 500 people, 8% has type 2 diabetes. 1. Check if the conditions for a onesample zinterval for population proportion is satisfied (30 points) 2. If satisfied, compute for the 90% confidence interval for the population proportion (20 points)