1. A chip company did a study on the weights of their bags of chips. It was found that the weight is normally distributed with a mean of 22 oz. And standard deviation of 0.90 oz. If a sample of 35 bags are randomly selected, find the probability that their sample mean is less than 21.5 ounces. a) label and shade normal distribution curve to model this problem: b) if a sample of 35 bags are randomly selected find the probability that their sample mean is less than 21.5 ounces. 2. The ACCUPLACER is a college readiness exam. The scores for math are normally distributed with a mean of 75 and standard deviation of 8. A college policy is that the bottom 15% of test takers are required to take a remedial math course over the summer. Students who score below what score will have to take the summer course ? Please show work. Thank you