Three friends, Raju, Chin and Amir are riding a Ferris wheel at a fun fair. Chin and Amir were in cabins P, Q and R respectively. Given the diameter of the Ferris wheel is 28 m and the perpendicular distance from Raju's cabin to the line of Chin and Amir's cabin is 20. If the distance between the three of them are equal, find their total distance. in m.

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?