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7. (10 pts.) Of 100 boxes of fuses containing 5 fuses per box, 20 boxes contain...
Problem 8 A large box of fuses contains 10% defectives. Four fuses are randomly selected from...
Problem 8 A large box of fuses contains 10% defectives. Four fuses are randomly selected from the box. Find: a) Probability that exactly one fuse is defective b) Probability that at least one fuse of the four selected is defective Now suppose these four sampled fuses are shipped to a customer before being tested. Assume the cost of fixing' a shipment with defective fuses is given by C- 3Y2 where Y is the number of defectives in the shipment of...
we have four boxes. box #1 contains 2000 components of which 100 are defective. Box #2...
we have four boxes. box #1 contains 2000 components of which 100 are defective. Box #2 contains 500 components of which 200 are defective. boxes #3 and #4 each contain 1000 components with 100 of them being defective. a box is selected by ruling a fair four sided die and then a single item is randomly chosen from the box. a.What is the probability that the selected component is defective? b. if the selected item is defective, find the probability...
" 5. (9 pts) A lot of 100 semiconductor chips contain 20 that are defective. Chips...
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5. (9 pts) A lot of 100 semiconductor chips contain 20 that are defective. Chips are selected randomly for quality inspection. (e)-2 - a. Two chips are selected sequentially at random, without replacement, from the lot. Deternine the probabiliy that the second chip selected is defective. 3 pts) X -2 .Thee chips are selected, at random, without replacement, from the lot. Determine the probability that all are defective. (3 pts) o 3-03
10) A company producing electric relays has three manufacturing plants producing 50, 30, and 20 percent,...
10) A company producing electric relays has three manufacturing plants producing 50, 30, and 20 percent, respectively, of its product. Suppose that the probabilities that a relay manufactured by these plants is defective are 0.02, 0.05, and 0.01, respectively a) If a relay is selected at random from the output of the company, what is the probability that it is defective? (b) If a relay selected at random is found to be defective, what is the probability that it was...
SU Ruge high selectivity 18. What is the probability In a bolt factory machines A, B...
SU Ruge high selectivity 18. What is the probability In a bolt factory machines A, B and C manufacture respectively 30% 30%, 40 total of their output 4, 5,3 %5 are defective bolts. A bolt is drawn at random in product and is found defective. What are the probabilities that it was manufactured te respectively 30%, 30%, 40% of the . A bolt is drawn at random from the machines A, B and C? Two solid state diodes are connected...
5. Three balls are placed at random in three boxes, with no restriction on the number of balls per box. (a) List the 27 equally probable outcomes of this experiment. Be sure to explain your notat...
5. Three balls are placed at random in three boxes, with no restriction on the number of balls per box. (a) List the 27 equally probable outcomes of this experiment. Be sure to explain your notation. (b) Find the probability of each of the following events: A: "the first box is empty" B: "the first two boxes are empty". C: "no box contains more than one ball". (c) Find the probabilities of events A, B and C when three balls...
Question 29 (4 points) Two boxes each contain five numbered balls: • Box 1 contains balls...
Question 29 (4 points) Two boxes each contain five numbered balls: • Box 1 contains balls with numbers 3, 3, 3, 4, 5 • Box 2 contains balls with numbers 1, 1, 2, 2, 2 (a) You will randomly select one ball from each box. Let X be the difference between the numbers selected from the first and second box. Find the probability distribution of X. You can simply list the probabilities for each possible value of X instead of...
7. (20 pts) A force of 50 N is used to move a 5 kg box...
7. (20 pts) A force of 50 N is used to move a 5 kg box 30 m across a level floor a. How much work was done on the box? b. If the movement takes 10 seconds, what is the average velo city of the box during the move? c. What is the average kinetic energy of the box during the move? d. What is the change in potential energy as a result of this move?
7. (20 pts) A force of 50 N is used to move a 5 kg box...
7. (20 pts) A force of 50 N is used to move a 5 kg box 30 m across a level floor. 2. How much work was done on the box? b. If the movement takes 10 seconds, what is the average vclocity of the box during the move c What is the average kinetic energy of the box during the move? d. What is the change in potential energy as a result of this move?
Question 4 (a) If a coin is flipped, the probability of it landing on heads on...
Question 4 (a) If a coin is flipped, the probability of it landing on heads on any flip is 0.4. After 20 coin flips, determine the probability that: () There are exactly 2 heads. (ii) There are exactly 10 heads. (iii) 'There are between 3 and 7 heads. [12 marks] (b) In a bolt factory there are three machines: A, B and C. Machines A, B and C manufacture 20,30 and 50% respectively of the total output. Of their outputs,...
Problem 8 A large box of fuses contains 10% defectives. Four fuses are randomly selected from the box. Find: a) Probability that exactly one fuse is defective b) Probability that at least one fuse of the four selected is defective Now suppose these four sampled fuses are shipped to a customer before being tested. Assume the cost of fixing' a shipment with defective fuses is given by C- 3Y2 where Y is the number of defectives in the shipment of...
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5. (9 pts) A lot of 100 semiconductor chips contain 20 that are defective. Chips are selected randomly for quality inspection. (e)-2 - a. Two chips are selected sequentially at random, without replacement, from the lot. Deternine the probabiliy that the second chip selected is defective. 3 pts) X -2 .Thee chips are selected, at random, without replacement, from the lot. Determine the probability that all are defective. (3 pts) o 3-03
10) A company producing electric relays has three manufacturing plants producing 50, 30, and 20 percent, respectively, of its product. Suppose that the probabilities that a relay manufactured by these plants is defective are 0.02, 0.05, and 0.01, respectively a) If a relay is selected at random from the output of the company, what is the probability that it is defective? (b) If a relay selected at random is found to be defective, what is the probability that it was...
SU Ruge high selectivity 18. What is the probability In a bolt factory machines A, B and C manufacture respectively 30% 30%, 40 total of their output 4, 5,3 %5 are defective bolts. A bolt is drawn at random in product and is found defective. What are the probabilities that it was manufactured te respectively 30%, 30%, 40% of the . A bolt is drawn at random from the machines A, B and C? Two solid state diodes are connected...
5. Three balls are placed at random in three boxes, with no restriction on the number of balls per box. (a) List the 27 equally probable outcomes of this experiment. Be sure to explain your notation. (b) Find the probability of each of the following events: A: "the first box is empty" B: "the first two boxes are empty". C: "no box contains more than one ball". (c) Find the probabilities of events A, B and C when three balls...
Question 29 (4 points) Two boxes each contain five numbered balls: • Box 1 contains balls with numbers 3, 3, 3, 4, 5 • Box 2 contains balls with numbers 1, 1, 2, 2, 2 (a) You will randomly select one ball from each box. Let X be the difference between the numbers selected from the first and second box. Find the probability distribution of X. You can simply list the probabilities for each possible value of X instead of...
7. (20 pts) A force of 50 N is used to move a 5 kg box 30 m across a level floor a. How much work was done on the box? b. If the movement takes 10 seconds, what is the average velo city of the box during the move? c. What is the average kinetic energy of the box during the move? d. What is the change in potential energy as a result of this move?
7. (20 pts) A force of 50 N is used to move a 5 kg box 30 m across a level floor. 2. How much work was done on the box? b. If the movement takes 10 seconds, what is the average vclocity of the box during the move c What is the average kinetic energy of the box during the move? d. What is the change in potential energy as a result of this move?
Question 4 (a) If a coin is flipped, the probability of it landing on heads on any flip is 0.4. After 20 coin flips, determine the probability that: () There are exactly 2 heads. (ii) There are exactly 10 heads. (iii) 'There are between 3 and 7 heads. [12 marks] (b) In a bolt factory there are three machines: A, B and C. Machines A, B and C manufacture 20,30 and 50% respectively of the total output. Of their outputs,...
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