Solve. show all your work and explain your steps.
a family rents a truck to move from buffalo to chicago. the rental has a base cost of $29.95, plus an additional cost of $1.50 per mile driven. the family also pays for gas, which costs $2.15 per gallon. the truck’s average gas mileage is 16 miles per gallon. what is the total cost of the move? (hint: use the map to estimate the driving distance.

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?