a certain electronics company produces a particular type of vacuum tube. on the average, 2 out...
a certain electronics company produces a particular type of vacuum tube. on the average, 2 out of 100 are defective. the company packs the tubes on boxes of 400. let =8. find the probability that a box of 400 tubes will contain: (this is poisson distribution) a.) exactly 4 defectives b.) eat least 4 defective tubes c.) at most 4 defective
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a certain electronics company produces a particular type of
vacuum tube. on the average, 2 out...
5. A certain electronics company produces a particular type of vacuum tube. On the average, 4...
5. A certain electronics company produces a particular type of vacuum tube. On the average, 4 out of 100 are defective. The company packs the tubes in boxes of 400. Let 16. Find the probability that a box of 400 tubes will contain: (This is a Poisson Distribution) a) exactly 3 defectives b) at least 3 defective tubes c) at most 3 defective
The lifetime X (in hundreds of hours) of a certain type of vacuum tube has a Weibull distribution with parameters α = 2 and β = 3
The lifetime X (in hundreds of hours) of a certain type of vacuum tube has a Weibull distribution with parameters α = 2 and β = 3. Compute the following.
The probability that a randomly selected box of a certain type of cereal has a particular...
The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.2. Suppose you purchase box after box until you have obtained three of these prizes. (b) What is the probability that you purchase five boxes? (Round your answer to four decimal places.) (c) What is the probability that you purchase at most five boxes? (Round your answer to four decimal places.) (d) How many boxes without the desired prize do you expect...
The lifetime X (in hundreds of hours) of a certain type of vacuum tube has a Weibull distribution with parameters α = 2 and β = 3.
The lifetime X (in hundreds of hours) of a certain type of vacuum tube has a Weibull distribution with parameters α = 2 and β = 3.Compute the following. (Round your answers to three decimal places.)
Question 2: A company generally purchases large lots of a certain type of laptop computers. A...
Question 2: A company generally purchases large lots of a certain type of laptop computers. A method is used that rejects a lot if more than 2 defective laptops are found in a lot. Past experience shows that 10% laptops are defective. What is the probability of rejecting a lot of 20 units? What is the probability that in a batch of 20 laptops between 3 and 5 (inclusive) laptops are defective? On the average how many defective laptops are...
ustion 2: (Discrete Random variable)[2+2-4 marks] A factory produces components of which I % is defective....
ustion 2: (Discrete Random variable)[2+2-4 marks] A factory produces components of which I % is defective. The components are in boxes of 10 A box is selected at random (a) Find the probability that the box contains at least 2 defective components. (b) Find the mean and the standard deviation of the distribution Cy e length of life of an instrument produced by a machine has a normal distribution with a mean of 12 months and standard deviation of 2...
Suppose that 20% of all copies of a particular textbook fail a certain binding strength test....
Suppose that 20% of all copies of a particular textbook fail a certain binding strength test. Let X denote the number among 15 randomly selected copies that fail the test. o a. Is this a binomial setting? b. Determine the probability distribution of X. What is the probability that exactly 8 fail the test? d. What is the probability that at least 14 fail the test? e. What is the probability that between 4 and 7, inclusive fail the test?...
Each of 14 refrigerators of a certain type has been returned to a distributor because of...
Each of 14 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 9 of these refrigerators have a defective compressor and the other 5 have less serious problems. If the refrigerators are examined in random order, let Xbe the number among the first 6 examined that have a defective compressor. Calculate P(x 4) and P(X s P(X=4) = 0.4196 P(X 4) 10.8012 (a) 4)....
1. Suppose that the length of time a particular type of battery lasts follows an exponential...
1. Suppose that the length of time a particular type of battery lasts follows an exponential distribution with a mean of 25.0 days. Find the probability that the average time a sample of 49 batteries lasts is at most 24.7 days a. 0.4665 b. 0.3723 c. 0.6277 d. 0.5335 2. Suppose that the length of time a particular type of battery lasts follows an exponential distribution with a mean of 25.0 days. Suppose the length of time a battery lasts...
Example 5.27 The amount of a particular impurity in a batch of a certain chemical product...
Example 5.27 The amount of a particular impurity in a batch of a certain chemical product is a random variable with mean value 4.0 g and a standard deviation 1.3 g. If 60 batches are independently prepared, what is the (approximate) probability that the sample average amount of impurity X is between 3.5 and 3.8 g? According to the rule of thumb, n = 60 is large enough for the CLT to be applicable. X then has approximately ---Select--- distribution...
5. A certain electronics company produces a particular type of vacuum tube. On the average, 4 out of 100 are defective. The company packs the tubes in boxes of 400. Let 16. Find the probability that a box of 400 tubes will contain: (This is a Poisson Distribution) a) exactly 3 defectives b) at least 3 defective tubes c) at most 3 defective
ustion 2: (Discrete Random variable)[2+2-4 marks] A factory produces components of which I % is defective. The components are in boxes of 10 A box is selected at random (a) Find the probability that the box contains at least 2 defective components. (b) Find the mean and the standard deviation of the distribution Cy e length of life of an instrument produced by a machine has a normal distribution with a mean of 12 months and standard deviation of 2...
Suppose that 20% of all copies of a particular textbook fail a certain binding strength test. Let X denote the number among 15 randomly selected copies that fail the test. o a. Is this a binomial setting? b. Determine the probability distribution of X. What is the probability that exactly 8 fail the test? d. What is the probability that at least 14 fail the test? e. What is the probability that between 4 and 7, inclusive fail the test?...
Each of 14 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 9 of these refrigerators have a defective compressor and the other 5 have less serious problems. If the refrigerators are examined in random order, let Xbe the number among the first 6 examined that have a defective compressor. Calculate P(x 4) and P(X s P(X=4) = 0.4196 P(X 4) 10.8012 (a) 4)....
Example 5.27 The amount of a particular impurity in a batch of a certain chemical product is a random variable with mean value 4.0 g and a standard deviation 1.3 g. If 60 batches are independently prepared, what is the (approximate) probability that the sample average amount of impurity X is between 3.5 and 3.8 g? According to the rule of thumb, n = 60 is large enough for the CLT to be applicable. X then has approximately ---Select--- distribution...
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