Suppose that a computer chip company has just shipped 5,000 computer chips to a computer company. Unfortunately, 10 of the chips are defective. (a) Compute the probability that two randomly selected chips are defective using conditional probability. 10 (b) The probability that the first randomly selected chip is defective is E po0 = 0.002 0.2%. Compute the probability that two randomly selected chips are defective under the assumption of independent events. (a) The probability is (Round to eight decimal places as needed.) (b) The probability is (Round to eight decimal places as needed.) When small samples are taken from large populations without replacement, the assumption of independence does not significantly affect the probability. Based on the results, what does this mean? O A. The probabilities are nearly the same. O B. The probabilities are very different, but the probability found assuming independent events is larger, so it does not matter. O C. The probabilities are exactly the same. O D. The probabilities are very different, but the probability found assuming independent events is smaller, so it does not matter.

One student is selected at random from a group of 200 known to consist of 140 full-time (80 female and 60 male) student and 60 part-time (40 female and 20 male) students.   Event A is "the student selected is full-time" and event C is "the student selected is female".   (a) Are events A and C independent?   (b) Find the probability of one student selected is full-time, that should be female.

Suppose that in England 37% of house purchases fall through and, of those house purchases that fall through, 19% involve buyers who are first-time buyers. Further suppose that overall 23% of all buyers are first time buyers. Use this information to calculate the probability that a first-time buyer's house purchase falls through.

Suppose Emerson loses 26% of all checker games. (a) What is the probability that Emerson loses two checker games in a row? (b) What is the probability that Emerson loses five checker games in a row? (c) When events are independent, their complements are independent as well. Use this result to determine the probability that Emerson loses five checker games in a row, but does not lose six in a row. (a) The probability that Emerson loses two chockor

Suppose that the probability that a passenger will miss a flight is 0.0944. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 51 passengers. (a) If 53 tickets are sold, what is the probability that 52 or 53 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 57 tickets are sold. What is the probability that a passenger will have to be "bumped"? (c) For a plane with seating capacity of 280 passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being "bumped" below 1%? (a) The probability of an overbooked flight is (Round to four decimal places as needed.) CIT

Suppose that a computer chip company has just shipped 5,000 computer chips to a computer company. Unfortunately, 50 of the chips are defective. (a) Compute the probability that two randomly selected chips are defective using conditional probability. (b) The probability that the first randomly selected chip is defective is 50 = 0.01 = 1%. Compute the probability that two randomly selected chips are defective under 5,000 the assumption of independent events. (a) The probability is (Round to eight decimal places as needed.)

A hand of 5 cards is dealt to each of three players from a standard deck of 52 cards.(a)What is the probability that one of the players receives all four Aces?(b)What is the probability that at least one player receives no hearts?