Select the correct answer. a company is about to launch a new cell phone model. in the past, 40% of its cell phones have launched successfully. before any cell phone is launched, the company conducts market research and receives a report predicting favorable or unfavorable sales. in the past, 70% of successful cell phones and 20% of unsuccessful cell phones received favorable reports. what is the probability that the new cell phone will receive a favorable report, given that the cell phone launch is successful? a. 0.45 b. 0.54 c. 0.64 d. 0.70

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?