A machine 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 Round your answer to four decimal places 01667 b What is the probability that the machine produces no defective transistors in a batch of 100 Round your answer to four decimal places 1326 c On average how many transistors would you expect to be produced before the first with a defect Enter your answer as a whole number 50 What is the standard deviation Round your answer to two decimal places x 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 Enter your answer as a whole number What is the standard deviation Round your answer to two decimal places e Based on your answers to parts c and d how does increasing the probability of an event affect the mean and standard deviation of the wait time until success and the standard deviation decreases decreases V