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Devices produced by a certain company will be defective with a probability of 0.2 independently of...
Suppose machine 1 produces items that are independently defective with probability 0.01, machine 2 produces items...
Suppose machine 1 produces items that are independently defective with probability 0.01, machine 2 produces items that are independently defective with probability 0.02, and machine 3 produces items that are independently defective with probability 0.04. Suppose we purchase a box with 100 items in it, all of which were produced by the same machine. The box was produced by machine 1 with probability 0.5, by machine 2 with probability 0.3, and by machine 3 with probability 0.2. (a) Find the...
The probability that a part produced by a certain factory's assembly line will be defective is...
The probability that a part produced by a certain factory's assembly line will be defective is 0.007. Find the probabilities that in a run of 40 items, the following results are obtained. (a) Exactly 3 defective items No defective items (c) At least 1 defective item a. The probability that exactly 3 parts will be defective is (Round to four decimal places as needed.) b. The probability that no parts will be defective is (Round to four decimal places as...
The probability that a part produced by a certain factory's assembly line will be defective is...
The probability that a part produced by a certain factory's assembly line will be defective is 0.012. Find the probabilities that in a run of 45 items, the following results are obtained. (a) Exactly 3 defective items (b) No defective items (c) At least 1 defective item
The probability that a part produced by a certain factory's assembly line will be defective is...
The probability that a part produced by a certain factory's assembly line will be defective is 0.022. Find the probabilities that in a run of 48 items, the following results are obtained. (a) Exactly 4 defective items (b) No defective items (c) At least 1 defective item
The probability that a part produced by a certain factory's assembly line will be defective is...
The probability that a part produced by a certain factory's assembly line will be defective is 0.025. Suppose a sample of 130 parts is taken. Find the following probabilities by using the normal curve approximation to the binomial distribution. Use the table of areas under the standard normal curve given below. The probability that exactly 2 parts will be defective is ____. (Round to four decimal places as needed.) The probability that no parts will be defective is _____. (Round...
According to the manufacturer of a certain candy, 9% of the candy produced are red. If...
According to the manufacturer of a certain candy, 9% of the candy produced are red. If we take a random sample of 100 bags of the candy, what is the probability that the proportion in our sample of red candies will be less than 20%? Which one of the following conditions for using the Central Limit Theorem for Sample Proportions is not met? A. If the sample is collected without replacement, ten the population size must be at least 10...
Problem #7: Suppose that 26% of all steel shafts produced by a certain process are nonconforming...
Problem #7: Suppose that 26% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). (a) In a random sample of 175 shafts, find the approximate probability that between 37 and 53 (inclusive) are nonconforming and can be reworked. (b) In a random sample of 175 shafts, find the approximate probability that at least 49 are nonconforming and can be reworked. Problem #8: A system consists of five components...
Each of 12 refrigerators of a certain type has been returned to a distributor because of...
Each of 12 refrigerators of a certain type has been returned to a distributor because of an audible, high-pitched, oscillating noise when the refrigerators are running. Suppose that 8 of these refrigerators have a defective compressor and the other 4 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 7 examined that have a defective compressor. (a) Calculate P(X = 5) and PCX S 5). (Round your answers to...
(Gloves, 60 pts). Tertemiz Inc. produces powdered latex gloves for daily use and sells them in...
(Gloves, 60 pts). Tertemiz Inc. produces powdered latex gloves for daily use and sells them in boxes of size K = 100. In the production line, each glove is produced independently with a fixed probability s = 0.002 of being defective. For the time being, let us consider a generic glove box. Let Z be the number of defective gloves in the box. e. (10) Calculate the probability that the lot is accepted. With the new coronavirus outbreak, the glove...
4. Core i5 and i7 are two different types of CPU manufactured by Intel. As you...
4. Core i5 and i7 are two different types of CPU manufactured by Intel. As you may know as a matter of fact, Intel does not produce two types of CPUs. Instead, they just produce Core i7 chips. However, since a chip contains many millions of transistors, some of the transistors may not work properly, while other regions from the chip are working perfectly. In this case, Intel does not scrap the chip to trash, as it will be a...
Suppose machine 1 produces items that are independently defective with probability 0.01, machine 2 produces items that are independently defective with probability 0.02, and machine 3 produces items that are independently defective with probability 0.04. Suppose we purchase a box with 100 items in it, all of which were produced by the same machine. The box was produced by machine 1 with probability 0.5, by machine 2 with probability 0.3, and by machine 3 with probability 0.2. (a) Find the...
The probability that a part produced by a certain factory's assembly line will be defective is 0.007. Find the probabilities that in a run of 40 items, the following results are obtained. (a) Exactly 3 defective items No defective items (c) At least 1 defective item a. The probability that exactly 3 parts will be defective is (Round to four decimal places as needed.) b. The probability that no parts will be defective is (Round to four decimal places as...
The probability that a part produced by a certain factory's assembly line will be defective is 0.012. Find the probabilities that in a run of 45 items, the following results are obtained. (a) Exactly 3 defective items (b) No defective items (c) At least 1 defective item
Problem #7: Suppose that 26% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). (a) In a random sample of 175 shafts, find the approximate probability that between 37 and 53 (inclusive) are nonconforming and can be reworked. (b) In a random sample of 175 shafts, find the approximate probability that at least 49 are nonconforming and can be reworked. Problem #8: A system consists of five components...
Each of 12 refrigerators of a certain type has been returned to a distributor because of an audible, high-pitched, oscillating noise when the refrigerators are running. Suppose that 8 of these refrigerators have a defective compressor and the other 4 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 7 examined that have a defective compressor. (a) Calculate P(X = 5) and PCX S 5). (Round your answers to...
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