Homework Answers
Here we have to use Bayes's Theorem.
If there was i no. of test then
(i-1) were not defective and the i th was defective as we were
testing until first defective.
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Homework Assigment - Quality Control Problem: We know that the probability of an item being defective,...
Problem 2. The Hit-and-Miss Manufacturing Company produces items that have a probability p of being defective....
Problem 2. The Hit-and-Miss Manufacturing Company produces items that have a probability p of being defective. These items are produced in lots of 150. Past experience indicates that p for an entire lot is either 0.05 or 0.25. Furthermore, in 90 percent of the lots produced, p equals 0.05 (so p equals 0.25 in 10 percent of the lots). These items are then used in an assembly and ultimately their quality is determined before the final assembly leaves the plant....
In a factory, machine A produces 60% of the daily output, and machine B produces 40% of the daily output. After quality control process, 2% of machine A's output is defective, and 3% of machine B's output is defective. If an item was inspected at random,
In a factory, machine A produces 60% of the daily output, and machine B produces 40% of the daily output. After quality control process, 2% of machine A's output is defective, and 3% of machine B's output is defective. If an item was inspected at random, 1- What is the probability that the item is defective? 2- What is the probability that the item was produced by machine A given that it was found defective?
Question 3 A production manager wants to know if her new procedure results in fewer defective...
Question 3 A production manager wants to know if her new procedure results in fewer defective units. She knows that they are currently averaging 8% defective units. She then collects a sample of 341 units using the new procedure and finds 24 defective units. Do we have enough evidence to conclude that the new procedure results in fewer defective units? (use alpha .05) 1. Identify the appropriate test, alpha, and check assumptions 2. Formulate hypotheses 3. Perform calculations (test statistic...
When 2 defective items are extracted one by one in a partition consisting of 6 products and checked, Let X be the number of tests before finding the last defective item find the probability distrib...
When 2 defective items are extracted one by one in a partition consisting of 6 products and checked, Let X be the number of tests before finding the last defective item find the probability distribution of X. Draw a graph of the distribution function F (x) of X · Calculate the mean μ and standard deviation σ of X. please explain hint x=2,P(x)=1/15 if you dont get this dont answer please
Binomial Distributions Given your statistical knowledge, you have been asked to assist the quality control manager of a...
Binomial Distributions Given your statistical knowledge, you have been asked to assist the quality control manager of a local manufacturer in establishing and seeing that the factory conforms to standards set by management. The facility manufactures a new electronic toy. The factory can produce 1000 toys per day. Management has indicated that initially they will be satisfied if the defect rate is 3% or less. Since you can’t quality-test every toy produced, you suggest that a random sample of 40...
Discrete math: A company uses computer vision software for quality inspection of its products. Over all...
Discrete math: A company uses computer vision software for quality inspection of its products. Over all products, 1 out of 10 is defective. The software labels non-defective products to be correct in 17 out of 18 cases. Defective products are (falsely) labeled to be correct in 1 out of 5 cases. Given that a product is labeled to be correct, what is the probability that it is actually defective? 5/64 2/87 0.0018 0.078 The producer of a laboratory test for...
probabilities I know from given problem: .99 have disease AND Test + therefore... .01 have disease...
probabilities I know from given problem:
.99 have disease AND Test + therefore...
.01 have disease AND Test -
.02 do not have disease AND Test + therefore...
.98 do not have disease AND Test -
.10 of TOTAL population HAVE Disease
therefore...
.90 of TOTAL population DO NOT HAVE Disease.
what I thought I would have to do to get what is being
asked is P(have disease | tests +) = P(Have disease AND Test +) /
P(test +)...
please explain how to do it 2) in industrial engineering, quality control of manufacturing processes is...
please explain how to do it
2) in industrial engineering, quality control of manufacturing processes is a core concern. In a specific manufacturing plant, 10 items are tested every hour. For each item, two quantities (P and Q) are measured. The P value must be at least a certain value (pmin), while the value must not exceed a certain value (qmax). Using any sort of Excel conditional functions, replicate the worksheet shown below. What happens to the passing percentages if...
ECE 314-Probability and Random Processes, Spring 2019 Homework #1 Due: 02/01/19, at the start of lecture...
ECE 314-Probability and Random Processes, Spring 2019 Homework #1 Due: 02/01/19, at the start of lecture (9:05 am) 1. Suppose that A, B, and C are events such that PlAI-PlB) 03. PC-055, PA n B- 0, PA nBnc]-0.1, and PIAnC]-0.2. For each of the events given below in parts (a)-(d), do the following: i) Write a set expression for the event. (Note that there are multiple ways to write this in many cases.) (i) Evaluate the probability of the event....
Problem 5: Gambler's Ruin Our old friend John Doe who tried his luck at blackjack back in Homework 2 now decides to win a small fortune using slot machines mstead. Having ganed some wisdom from h...
Problem 5: Gambler's Ruin Our old friend John Doe who tried his luck at blackjack back in Homework 2 now decides to win a small fortune using slot machines mstead. Having ganed some wisdom from his previous outings, he starts off small with just one dollar. He plays the slot machines in the following way He always inserts one dollar into the slot machines After playing it, the machine returns two dollars with probability p and returns nothing with probability...
Problem 2. The Hit-and-Miss Manufacturing Company produces items that have a probability p of being defective. These items are produced in lots of 150. Past experience indicates that p for an entire lot is either 0.05 or 0.25. Furthermore, in 90 percent of the lots produced, p equals 0.05 (so p equals 0.25 in 10 percent of the lots). These items are then used in an assembly and ultimately their quality is determined before the final assembly leaves the plant....
Question 3 A production manager wants to know if her new procedure results in fewer defective units. She knows that they are currently averaging 8% defective units. She then collects a sample of 341 units using the new procedure and finds 24 defective units. Do we have enough evidence to conclude that the new procedure results in fewer defective units? (use alpha .05) 1. Identify the appropriate test, alpha, and check assumptions 2. Formulate hypotheses 3. Perform calculations (test statistic...
probabilities I know from given problem:
.99 have disease AND Test + therefore...
.01 have disease AND Test -
.02 do not have disease AND Test + therefore...
.98 do not have disease AND Test -
.10 of TOTAL population HAVE Disease
therefore...
.90 of TOTAL population DO NOT HAVE Disease.
what I thought I would have to do to get what is being
asked is P(have disease | tests +) = P(Have disease AND Test +) /
P(test +)...
please explain how to do it
2) in industrial engineering, quality control of manufacturing processes is a core concern. In a specific manufacturing plant, 10 items are tested every hour. For each item, two quantities (P and Q) are measured. The P value must be at least a certain value (pmin), while the value must not exceed a certain value (qmax). Using any sort of Excel conditional functions, replicate the worksheet shown below. What happens to the passing percentages if...
ECE 314-Probability and Random Processes, Spring 2019 Homework #1 Due: 02/01/19, at the start of lecture (9:05 am) 1. Suppose that A, B, and C are events such that PlAI-PlB) 03. PC-055, PA n B- 0, PA nBnc]-0.1, and PIAnC]-0.2. For each of the events given below in parts (a)-(d), do the following: i) Write a set expression for the event. (Note that there are multiple ways to write this in many cases.) (i) Evaluate the probability of the event....
Problem 5: Gambler's Ruin Our old friend John Doe who tried his luck at blackjack back in Homework 2 now decides to win a small fortune using slot machines mstead. Having ganed some wisdom from his previous outings, he starts off small with just one dollar. He plays the slot machines in the following way He always inserts one dollar into the slot machines After playing it, the machine returns two dollars with probability p and returns nothing with probability...
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