A recipe uses 4 cups of milk to make 20 servings. If the same amount of milk is used for each serving, how many servings can be made from two gallons? 1 gallon=4 quarts
1 quart=2 pints
1 pint=2 cups
1 cup=8 fluid ounces
Before you try that problem, answer the question below.
How many cups will you need to find the number of servings for?

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?