Problems 5, 6, & 7

5. Find the probability Z 2 1.75 using the Standard Normal distribution 0. (9 pts) P (Z 2 1.75) 6. Suppose rainfall at Big Bear Lake dam has a normal distribution with mean average rainfall of 26 inches and standard deviation of 4.5 inches . What's the probability that a randomly selected year has between 17 and 35 inches of rainfall ? (9 pts) 7. Test scores had a mean of 100 points and standard deviation of 15 . If 25 students are randomly selected, find the probability that their sample mean () score is less than 106 points: . Assume test scores follow a normal distribution. (9 pts)