Itsibitsi Microelectronics Company manufactures two kinds of ICs: IC-1 and IC-2. They are produce...
Itsibitsi Microelectronics Company manufactures two kinds of ICs: IC-1 and IC-2. They are produced in 2 separate but synchronously operating assembly lines which are located ncarby. Each assembly line manufactures one IC in one second. Each IC-1 is faulty with probability P0.1, and cach IC-2 is faulty with probability p2 0.2. The faults in IC-1 and IC-2 occur independently of each other. The company has an IC testing equipment, which can test one IC per second. The setup is such that it chooses an assembly line at random and tests the corresponding IC Supl)(ec he attx:mbly lines run lor 100 seconds, hal l (IO ICso[cach lype are manufaclurd Let X denote the number of faulty IC-1s that are detected, and let Y denote the number of faulty IC-2s that are detected. Determine the joint pmf Pxy(r, y) as a function of r and y. Be sure to specify the range.
Itsibitsi Microelectronics Company manufactures two kinds of ICs: IC-1 and IC-2. They are produced in 2 separate but synchronously operating assembly lines which are located ncarby. Each assembly line manufactures one IC in one second. Each IC-1 is faulty with probability P0.1, and cach IC-2 is faulty with probability p2 0.2. The faults in IC-1 and IC-2 occur independently of each other. The company has an IC testing equipment, which can test one IC per second. The setup is such that it chooses an assembly line at random and tests the corresponding IC Supl)(ec he attx:mbly lines run lor 100 seconds, hal l (IO ICso[cach lype are manufaclurd Let X denote the number of faulty IC-1s that are detected, and let Y denote the number of faulty IC-2s that are detected. Determine the joint pmf Pxy(r, y) as a function of r and y. Be sure to specify the range.