Jonny is writing a program for a video game. For one part of the game he uses the rule given below to move objects on the screen. Showing all your work, give the output that the rule gives for the inputs. (x, y) --> (x - 8.2, y + 3.6)

First input: (7.6, 9.3)

Second input: (10.5, -2.1)

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e.g. 98.7654). x f(x) 0 1 2 3

Math it's appreciated. (picture provided)

Monitors manufactured by tsi electronics have life spans that have a normal distribution with a standard deviation of 1800 hours and a mean life span of 20,000 hours. if a monitor is selected at random, find the probability that the life span of the monitor will be more than 17,659 hours. round your answer to four decimal places.