A company uses three machines for production. For each machine the numberof flaws in a produced item is poisson distributed. Machine A produces 55% ofeverything and has an average of 1/1000 flaws per item. Machine Bproduces 30% of everything and has an average of 3/1000 flaws. Machine Cproduces 15% of everything and has an average of 3/500 flaws. At the end allproduced items get mixed up and we randomly select one.(a) What is the expected number of flaws on that item?(b) What is the probability that the selected item has at least one flaw? (Roundto 5 decimal places)

A discrete random variable X is said to follow Poisson distribution with parameter λ, if its…

Answered: A company uses three machines for…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same 8 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. Day 1 2 3 4 5 6 7 8 Store 1 889 699 534 398 432 213 252 929 Store 2 479 525 252 364 160 32 234 632 Difference(Store 1 - Store 2) 410 174 282 34 272 181 18 297 Send data to calculator Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding μd (which is μ…
The Difference of Two Sample Proportions: III Belinda plans to take a simple random sample of 2500 U.S. adults and to compute the proportion of them who believe in the theory of evolution. (Call this sample proportion p1-hat.) She also intends to take an independent simple random sample of 1600 adults from France and to compute the the proportion of them who believe in the theory of evolution. (Call this sample proportion p2-hat.) Unknown to Belinda, the proportion of all U.S. adults who believe in the theory of evolution is 0.50 (or 50%), whereas the proportion of all French adults who believe in the theory of evolution is 0.75, or 75%. Using the expected value and the SD of p1-hat minus p2-hat, which of the following makes the most sense? Group of answer choices ( ) The percentage of adults in the U.S. sample who believe in evolution should turn out to be about 25% less than the percentage of adults in the French sample who believe in evolution, give or take about 3% or so for…
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Plant X manufactures 70 percent of a certain company's bicycles, and Plant Y manufactures 30 percent. It has been found that 4 percent of the bicycles manufactured at Plant X and 5 percent of the bicycles manufactured at Plant Y are defective. What percent of the bicycles manufactured by the company are not defective? O 87.2% O 91.3% O 95.5% O 95.7%
There are X-Mart and Y-Mart convenience stores. It is assumed that each customer purchases once a week at one of the two supermarkets (but not both). In a study, a sample of 100 buyers was taken for 10 weeks. From this research it is known that if buyers go to X-mart store one week, 85 people will still buy at X-mart store the following week and if buyers go to Y-mart store one week, 70 people will still buy at Y-mart store. mart the following week. 1. Make a table and matrix of transition probabilities. 2. If John purchases at X-mart in the first week, what is the probability that Bob purchases at X-store in the third and fourth weeks?
(Devore: Section 3.2 #15) Many manufacturers have quality control programs that include inspec- tion of incoming materials for defects. Suppose a computer manufacturer receives circuit boards in batches of five. Two boards are selected from each batch of inspection. We can represent possible outcomes of the selection process by pairs. For example, the pair (1,2) represents the selection of boards 1 and 2 for inspection. (a) List the ten different possible outcomes. (b) Suppose that boards 1 and 2 are the only defective boards in a batch. Two boards are to be chosen at random. Define X to be the number of defective boards observed among those inspected. Find the probability distribution (pmf) of X. (c) Let F denote the cdf of X. Determine F(0), F(1) and F(2); then obtain F(x) for all other x.
The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same sample of days. After choosing a random sample of 10 days, she records the sales (in dollars) for each store on these days, as shown in the table below. Day 1 2 3 7 8 10 Store 1 642 320 937 399 946 544 562 257 758 538 Store 2 601 68 841 323 834 603 486 92 480 268 Difference - 59 41 (Store 1 - Store 2) 252 96 76 112 76 165 278 270 Send data to calc... v Based on these data, can the owner conclude, at the 0.05 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding µ, (which is µ with a letter "d" subscript), the population mean daily sales difference between the two stores. Assume that this population of…
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