Mrs. ernat needs to make two pies for . each pie bakes at 400 degrees f. the cherry pie bakes for 1 hour, and the pumpkin pie bakes for 50 minutes. mrs. ernat would like the pies done at the same time. her guests are coming at 11 am. however she doesn't need the pies until 1 pm. if it takes her 10 minutes to preheat, at what time should she turn the oven on, and put each pie in the preheated oven?
show and explain your work in the "what i did, and why i did it" format.
(hint: it has to be done between 11, and 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?