Noah will select a letter at random from the word “FLUTE.” Lin will select a letter at random from the word “CLARINET.” 1. What is the probability Noah chooses the letter E from the word FLUTE?

2. What is the probability Lin chooses the letter E from the word CLARINET?

3. Which person is more likely to pick the letter “E?” Explain your reasoning using your answers from questions #1 and #2.

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