Consider the situation of sitting down with eye level at 46 in. find the missing distances and heights for the
following:
a. the bottom of the picture is at 50 in. and the top is at 74 in. what is the optimal viewing distance?
b. the bottom of the picture is at 52 in. and the top is at 60 in. what is the optimal viewing distance?
c. the bottom of the picture is at 48 in. and the top is at 64 in. what is the optimal viewing distance?
d. what is the height of the picture if the optimal viewing distance is 1 ft. and the bottom of the picture is hung at
47 in.?

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?