An assembly line has two inspectors. The probability that the first inspector will miss a defective item is 0.03. If the defective item passes the first​ inspector, the probability that the second inspector will miss it is 0.07. What is the probability that a defective item will pass by both​ inspectors?

A die is rolled twice. What is the probability of showing a 1 on the first roll and an even number on the second roll?

Andrea did a survey in her statistics class and found that 18 students out of 25 use the library at least twice a week.    What is the probability that a student chosen at random from the class uses the library at least twice a week? What is the probability that a student chosen at random from the class uses the library less often than twice a week? If two students are chosen at random from the class, what is the probability that both of them use the library at least twice a week? If two students are chosen at random from the class, what is the probability that both of them do NOT use the library at least twice a week?

Bill and Mark take turns picking a ball at random from a bag containing four red and seven white balls. The balls are drawn out of the bag with replacement. What is the probability that Bill is the first person to pick a red ball when Mark is the first person to start?

A friend flips a coin 20 times and says that the probability of getting a head is 40% because he got eight heads . Is the friend referring to an empirical or a theoretical probability?

At the beginning of the semester, a professor tells The professor informs the class that there will be a students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If test next week. What is the probability that a randomly selected student studied if they do not pass the test with a B or higher? they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram. O 0.45 O 0.46 O 0.54 O 0.59 Gets B or 0.55 higher Studies for test Does not get B or higher 0.6 0.45 Random student Gets B or 0.20 04 Does not higher Mark this and return Save and Exit Next Subrnit DELL F3 F4- F5 F6 F7 F8 F9 F10 F11 F12 PriScr Inser %2$ 4. 8. R T Y 4 H K 近

Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx

The probability of a dry summer is equal to 0.3, the probability of a wet summer is equal to 0.2, and the probability of a summer with normal precipitation is equal to 0.5. A climatologist observed the precipitation during three consecutive years. What is the probability of observing two dry summers?

The probability that the first record of a singing group will be a hit is 0.48. If their first record is a hit, so are all their subsequent records. If their first record is not a hit, the probability of their second and all subsequent ones being hits is 0.24. If the first two records are not hits, the probability that the third is a hit is 0.12. Find the probability that a group has exactly 2 hits in their first three records. P(exactly 2 hits in first three records) = (Simplify your answer. Type an integer or a decimal. Round to 6 places.)

The probability that a statistics graduate from a Canadian university gets a data science job is 0.6.Ten graduates applied for executive jobs.What is the probability that exactly 3 will get jobs, at least 2 will get a job, at most 8 will get a job, and no one will get a job?