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The probability of getting 3 defective items and 7 good items in a group of 10...
3. A factory produces screws in batches of 100,000. The probability that a screw is defective is 0.01%. Assume that defects occur independently of each other. (a) Approximate the probability that 15 or more screws in a batch are defective using the normal approximation to the binomial distribution. (b) Approximate the probability that 3 or fewer screws in a batch are defective using the normal approximation to the binomial distribution. (c) Approximate the probability that 3 or fewer screws in...
how to answer this question? The probability mass function (pmf) for the Poisson distribution can be regarded as a limiting form of the binomial pmf if n o and p 0 with np = fi constant. (a) Suppose that 1% of all transistors produced by a certain company are defective. 100 of these chips are selected from the assembly line, Calculate the probability that exactly three of the chips are defective using both a binomial distribution and a Poisson distribution....
please help ... 4-22) A process is known to produce 5% nonconforming items. A sample of 40 items is selected from the process. (a) What is the distribution of the nonconforming items in the sample? (b) Find the probability of obtaining no more than 3 nonconforming items in the (o (d) Compare the answers to parts (b) and (c). What are your observations? sample. Using the Poisson distribution as an approximation to the binomial, calculate the probability of the event...
A quality control plan for an assembly line involves sampling n-10 finished items per day and counting Y, the number of defective items. If p denotes the probability of observing a defective item, then Ylp has binomial distribution with parameters n and p. But p varies from day to day and is assumed to have a uniform distribution over the interval [0, .25] a) Find the expected value of the number of defectives Y for any given day b) Find...
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 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...
In a lot of 200 electrical fuses, 20 are known to be nonconforming. A sample of 10 fuses is selected.(a) What is the probability distribution of the number of nonconforming fuses in the sample? What are its mean and standard deviation?(b) Using the binomial distribution as an approximation to the hypergeometric, find the probability of getting 2 nonconforming fuses. What is the probability of getting at most 2 nonconforming fuses?
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 statistical theory behind probability proportionate to size or monetary unit sampling is A. Normal distribution B. Central limit theorem C. Hypergeometric / Binomial distribution D. Poisson distribution
3. A manufacturer knows that, on average, 3% of items manufactured will have defects. Use the normal approximation to the binomial distribution to determine the probability that among 200 items, (a) at the most 5 will be defective; (b) anywhere from 4 to 7 will be defective 4. Page 140, #5.26 5. Page 178 #5.109