There is a population of four people: Amy, Ben, Clara, and Donna. [Note: this is a population, not a sample.] They are asked how many apples they ate last month. Amy ate 3 apples, Ben ate 5 apples, Clara ate 11 apples, and Donna ate 1 apple. We are too lazy to poll the entire population, so we take a sample of two (with replacement and order matters). What is the probability of the sample mean equaling the population mean

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