5. Today, everything at a store is on sale. The store offers a 20% discount. a. The regular price of a T-shirt is $18. What is the discount price?

b. If the regular price of an item is x dollars, what is the discount price in dollars?

C. The discount price of a hat is $18. What is the regular price?

What is the correlation coefficient for the data? don't forget to turn the diagnoisticon (in the catalog menu of the calculator). r = answer (round to the nearest thousandth)

Create a data set with 8 points in it that has a mean of approximately 10 and a standard deviation of approximately 1.

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?