Ten people stand in line. the first goes to the back of the line and the next person sits down, so that the person who was third is now first in line. now that person goes to the back of the line and the next person sits down. this process is repeated until only one person remains. what was the original position in line of the only remaining person?

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