A football is thrown upward with an initial velocity of 50 feet per second from a height of 100 feet. The height of the object t seconds after it is thrown is glven by the function h(t) = -16t2 + 50t + 100. Determine the ball's average velocity from t = 0 to t = 3 seconds. 1) 2ft/s
2) -2 ft/s
3) -1.2 ft/s
4) 5 ft/s

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?