Good Afternoon, I need assistance with these few questions Please.

1.) Part 1 (10%,100%,5% or 20%?)

Part 2- P (B) P (B l A), P (A) P (A l B), P (A) P (B l A), or P (A) P (B)?

Fill in each blank with the appropriate word or phrase. Part 1 of 2 When sampling without replacement, if the sample size is less than (Choose one) V of the population, the sampled items may be treated as independent. Part 2 of 2 The General Multiplication Rule states that P (A and B) = (Choose one)A fair coin is tossed three times. What is the probability that the sequence of tosses is THT? Write your answer as a fraction or a decimal, rounded to four decimal places. The probability that the sequence of tosses is THT is D. Assume that a student is chosen at random from a class. Determine whether the events A and B are independent, mutually exclusive, or neither. A: The student is a woman. B: The student belongs to a sorority. O The events A and B are independent. O The events A and B are mutually exclusive. O The events A and B are neither independent nor mutually exclusive.Quality control: A population of 584 semiconductor wafers contains wafers from three lots. The wafers are categorized by lot and by whether they conform to a thickness specication, 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 79 16 B 160 28 269 32 '1: Send data to Excel :i (a) What is the probability that the wafer is from Lot A? (b) What is the probability that the wafer is conforming? (c) what is the probability that the wafer is from Lot A and is conforming? (d) Given that the wafer is from Lot A, what is the probability that it is conforming? (e) Given that the wafer is conforming, what is the probability that it is from Lot A? (f) Let E1 be the event that the wafer comes from Lot A, and let E2 be the event that the wafer is conforming. Are E1 and E2 independent? Part: 0 I 6 Part 1 of 6 The probability that the wafer is from Lot A is D. More defective components: A lot of 1097 components contains 359 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. Write your answer as a fraction or a decimal, rounded to four decimal places. (a) Find P(A). (b) Find P (B |A). (c) Find P (A and B). (d) Are A and B independent? Is it reasonable to treat A and B as though they were independent? Explain. Part: 0 / 4 Part 1 of 4 Find P (A) =Let A and B be events with P (4) = 0.2, P(B) =0.4, and P(A and B) = 0.12. (a) Are A and B independent? Explain. (b) Compute P (A or B). (c) Are A and B mutually exclusive? Explain. Part: 0 / 3 Part 1 of 3 (a) Are A and B independent? Explain. The events A and B (Choose one) V independent since (Choose one) P(A) . P(B) = P(A and B X 5 P(A) . P(B) + P(A and B) P (A and B) + 0 P (A and B) = 0