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%
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A researcher is interested in the effects of cocaine on learning. A group of rats is randomly assigned to receive either cocaine or a non-harmful saline solution. The rats are taught how to run a maze. The cocaine rats need to be reared away from the control group rats, so they are handled and taught by one experimenter, and the control group rats are handled and taught by another experimenter. The results showed that the control group rats learned how to run the maze more quickly than the cocaine rats. 1. What is the independent variable? 2. What is the dependent variable? 3. What is the confounding? 4. How could the confounding be fixed?

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