Orange juice is sold in four different sizes the 8 1/2 ounce bottle costs $0.99 the 18 2/2 oz. bottle costs $1.49 the 48 1/4 oz. carton costs $2.49 and the 64 3/4 oz. carton costs $3.751.calculate a unit rate for each size 2. which size is the best buy

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?