A recently installed assembly line has problems with intermittent breakdowns. Recently, it seems that the equipment fails at some point during 8% of the eight-hour shifts that the plant operates. Each day contains three consecutive shifts. State your assumptions and complete parts (a) through (d) below. (a) What is the probability that the assembly line works fine throughout the three shifts on Monday? Assuming the probability is. (Round to three decimal places as needed.)You take a quiz with six multiple-choice questions. After you studied, you estimated that you would have a 75% chance of getting any individual question right. What are your chances of getting them all right, assuming that one hard question does not confuse you and cause you to miss others? The chances of getting all six right are about %. (Round to one decimal place as needed.) Afriend of yours took a multiple-choice quiz and got all seven questions right, but now claims to have guessed on every question. If each question offers six possible answers, do you believe he Explain why you either believe her or not. The friend's claim is 7 because the probability of getting all seven questions right by guessing is (Round to six decimal places as needed.) Companies X and Y compete to put their processing chips into personal computers In 2011, Company X claimed 71% of the laptop market and 56% of the market for desktop computers. In 2010, Company X commanded 57% of the laptop market and 87% of the desktop market, Complete parts (a) through (c) below. (a) What is the probability that someone who bought a laptop in 2010 and again in 2011 purchased computers with Company X's chips? Identify any assumptions needed for your answer. Assuming the events are E the probability is (Round to three decimal places as needed.) The table below shows the number of a social media website's users and populations in four countries in a recent year All of these counts are in millions of people, CountriesA and B are located in region 1, and countries 0 and D are located in other regions. Complete pans (a) through (0) below. Country Website Members Population '31 A 51 293 B 20 93 C 1 64 307 D 21 67 (a) If we select a website member from these at random, what is the probability that that person lives in region 1? The probability is . (Round to three decimal places as needed')