Problems 5, 6, and 7 show the problem and the answer

5. - ( 1= 0, +=1) Find the probability Z 2 1.75 using the Standard Normal distribution ( (9 pts) P (Z 2 1.75) - LE 99 1 E 99 ( M= 26 ) 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,Ipp(17 = x=35) ? (9 pts) - 1= 99 1E99 -(p = 100) 7. ( 0 = 15 ) - (n=25 ) Test scores had a mean of 100points and standard deviation of 15. If 25 students are randomly selected, find the probability that their sample mean (x) score is less than 106 points:?(* =106) Assume test scores follow a normal distribution. (9 pts) -1 99 1E 99