Flawed parts: On a certain day, a foundry manufactured 015 cast aluminum parts, Some of these had major flaws, some had minor flaws, and some had both major and minor flaws, The following table represents the results, Minor Flaw No Minor Flaw Major Flaw 20 30 No Major 78 485 Flaw Send data to Excel (a) Find the probability that a randomly chosen part has a major flaw. (b) Find the probability that a randomly chosen part has a minor flaw. (e) Find the probability that a randomly chosen part has a flaw (major or minor). (d) Find the probability that a randomly chosen part has no major flaw. Quality control: A population of _ /1 semiconductor wafers contains wafers from three lots. The wafers are categorized by lot and by whether they conform to a thickness specification, with the results shown in the following table, A wafer is chosen at random from the population. Write your answer as a fraction or a decimal, rounded to four decimal places. Lot Conforming Nonconforming A B 161 260 32 Send data to Excel a) What is the probability that the wafer is from Lot C? b) What is the probability that the wafer is conforming? (c) What is the probability that the wafer is from Lot C and is conforming? (d) Given that the wafer is from Lot C, what is the probability that it is conforming? (e) Given that the wafer is conforming, what is the probability that it is from Lot C? (f) Let E: be the event that the wafer comes from Lot C, and let Ey be the event that the wafer is conforming. Are E, and By independent? An unfair coin has probability 0.3 of landing heads. The coin is tossed six times. What is the probability that it lands heads at least once? Round the answer to four decimal places. P(Lands heads at least once) =