In the mid-1980’s, the educational testing service compared the sat scores of college bound seniors with those obtained by a large representative sample of high school juniors. on the verbal sat, the 40th percentile of the scores for the college-bound seniors happened to be equal to the 60th percentile of the scores for the sample of juniors. for both groups, the sd was 100 points. the two histograms followed the normal curve closely. find, approximately, the number of points separating the average of the two groups.

Giving 100 points asap bev has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. calculate the area of the polygon. be sure to show all your work and explain your answer.

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?

Express -5 2/5 as an improper fraction.