Homework Answers
a) P(a part is defective) = 0.10x0.08 + 0.30x0.06 + 0.60x0.03
= 0.044
b) Bayes' Theorem: P(A | B) = P(A & B) / P(B)
P(second machine | defective part) = P(second machine & defective) / P(defective)
= 0.3x0.06/0.044
= 0.4091
Add Answer to:
2. a) In a factory, parts are manufactured by three machines, M1, M2, and Ms in...
A company that manufactures the products, and closing three machines M1, M2, and wants to determine...
A company that manufactures the products, and closing three machines M1, M2, and wants to determine the optimal production schedule that maximizes the total profic Product A has to be processed by machines M1, M2, and Ms product requires M1 and M3, while product requires M1 and M2. The unit profits on the three products are 36, 36, and S7, respectively. The following linear program is formulated to determine the optimal product mix Maxme st ZH66x + 7x x +...
Two machines turn out all the products in a factory, with the first machine producing 45%...
Two machines turn out all the products in a factory, with the first machine producing 45% of the product and the second 55%. The first machine produces defective products 3% of the time and the second machine 8% of the time. (a) What is the probability that a defective part is produced at this factory given that it was made on the first machine? (b) What is the probability that a defective part is produced at this factory?
In one factory, the light bulb is produced by three machines. The first machine produces 20%...
In one factory, the light bulb is produced by three machines. The first machine produces 20% of the total production of the factory. The second machine produces 30% of the total production of the factory. The third machine produces 50% of the total production of the factory. The percentage of damaged production of the first machine is 1% and the percentage of damaged production of the second machine is 4% and the percentage of damaged production of the third machine...
In a factory, only two machines, A and B, manufacture washers. Neither machine is perfect: machine...
In a factory, only two machines, A and B, manufacture washers. Neither machine is perfect: machine A produces defective washers 14% of the time, while machine B produces defectives 10% of the time. Machine B is more efficient than machine A and accounts for 80% of the total output of washers. For purposes of quality control, a sample of washers is taken and examined for defectives. Compute the probability that a randomly chosen washer found to be defective was manufactured...
Cases in Probability A Bayes Theorem Case Three manufacturing processes, A, B and C, produce wheel...
Cases in Probability
A Bayes Theorem Case
Three manufacturing processes, A,
B and C, produce wheel bearings.
Proportions of the bearings produced by the processes are:
60%, 30% and
10%, respectively. Expected percentages of
defective bearing manufactured by the processes are
2%, 3% and 5%,
respectively.
An inspection has randomly selected a
defectivebearing. What is the probability that the
bearing was produced by process B
We were unable to transcribe this imageWe were unable to transcribe this image
Three machines first has an output of 20% with defective rate of 5%, second has an...
Three machines first has an output of 20% with defective rate of 5%, second has an output of 30% with defective rate of 3%, and last has an output of 50% with defective rate of 1%. If you randomly selected a defective part what is the probability that it came from the third machine?
Problem 4 company manufactures three types of heaters, Hi, Ha, and Hs, using two ra, and ts, respectively, that can be manufactured per hour in order to machines, M and M2. The price charged for...
Problem 4 company manufactures three types of heaters, Hi, Ha, and Hs, using two ra, and ts, respectively, that can be manufactured per hour in order to machines, M and M2. The price charged for each of the three heaters is and $88, respectively. Determine the number of each type of heater, maximize the company's hourly revenue. Each heater Hi takes 2 minutes on machine M, and 5 minutes on machine M2. Each heater H2 takes 8 minutes on machine...
A company that manufactures three products, A. & and using three machines, M1, M2, and M3,...
A company that manufactures three products, A. & and using three machines, M1, M2, and M3, wants to determine the optimal production schedule the maximizes the total profit. Product A has to be processed by machines M1, M2, and M3, product B requires M1 and M3, while product requires M1 and M2. The unit profits on the three products are $5,54 and 56, respectively. The following linear program is formulated to determine the optimal product mic Maximize S. Z-5x -...
The proportions of defective parts produced by two machines were compared, and the following data were...
The proportions of defective parts produced by two machines were compared, and the following data were collected. Determine a 95% confidence interval for p1 - p2. (Give your answers correct to three decimal places.) Machine 1: n = 160; number of defective parts = 10 Machine 2: n = 153; number of defective parts = 6 Lower Limit Upper Limit
3. Two different machines were used for producing a large batch of similar manufactured items. Suppose that 40% of the...
3. Two different machines were used for producing a large batch of similar manufactured items. Suppose that 40% of the items were produced by M and 60% of the items were produced by machine 2. Suppose further than 1% of the items produced by machine 1 are defective and 3% of the items produced by M2 defective are Let B be the event that the selected item was produced by Mi and B2 be the event that the selected item...
A company that manufactures the products, and closing three machines M1, M2, and wants to determine the optimal production schedule that maximizes the total profic Product A has to be processed by machines M1, M2, and Ms product requires M1 and M3, while product requires M1 and M2. The unit profits on the three products are 36, 36, and S7, respectively. The following linear program is formulated to determine the optimal product mix Maxme st ZH66x + 7x x +...
Cases in Probability
A Bayes Theorem Case
Three manufacturing processes, A,
B and C, produce wheel bearings.
Proportions of the bearings produced by the processes are:
60%, 30% and
10%, respectively. Expected percentages of
defective bearing manufactured by the processes are
2%, 3% and 5%,
respectively.
An inspection has randomly selected a
defectivebearing. What is the probability that the
bearing was produced by process B
We were unable to transcribe this imageWe were unable to transcribe this image
Problem 4 company manufactures three types of heaters, Hi, Ha, and Hs, using two ra, and ts, respectively, that can be manufactured per hour in order to machines, M and M2. The price charged for each of the three heaters is and $88, respectively. Determine the number of each type of heater, maximize the company's hourly revenue. Each heater Hi takes 2 minutes on machine M, and 5 minutes on machine M2. Each heater H2 takes 8 minutes on machine...
A company that manufactures three products, A. & and using three machines, M1, M2, and M3, wants to determine the optimal production schedule the maximizes the total profit. Product A has to be processed by machines M1, M2, and M3, product B requires M1 and M3, while product requires M1 and M2. The unit profits on the three products are $5,54 and 56, respectively. The following linear program is formulated to determine the optimal product mic Maximize S. Z-5x -...
3. Two different machines were used for producing a large batch of similar manufactured items. Suppose that 40% of the items were produced by M and 60% of the items were produced by machine 2. Suppose further than 1% of the items produced by machine 1 are defective and 3% of the items produced by M2 defective are Let B be the event that the selected item was produced by Mi and B2 be the event that the selected item...
Most questions answered within 3 hours.
-
1-Write an algorithm to get two numbers from the user (as
inputs) and calculate the sum...
asked 1 hour ago -
Define white-collar crime. What is the difference between
offender and offense-based definitions of white-collar crime? What...
asked 2 hours ago -
Consider a reaction which is 1st order with respect to A and 1st
order with respect...
asked 2 hours ago -
c++
The length of the hypotenuse of a right-angled triangle is the
square root of the...
asked 2 hours ago -
When a metal rod is heated, not only its resistance but also its
length and cross‐sectional...
asked 2 hours ago -
write a c++ program that computes the L^1 - Norm of a given
vector (L^1 norm...
asked 2 hours ago -
A manufacturer of banana chips would like to know whether its
bag filling machine works correctly...
asked 3 hours ago -
Complete the chapter case, "Turnover Analysis".
Chapter Case
Turnover Analysis
You recently completed your company’s new...
asked 3 hours ago -
What is the pH of solutions having the following H3O+
concentrations? Identify each as acidic, basic,...
asked 3 hours ago -
How does over-voltage of the diode usually occur?
asked 3 hours ago -
If you step on a dirty nail, your doctor will recommend you
update your Tetanus vaccination....
asked 3 hours ago -
Suppose that decreases in the price of milk lead to decrease s
in the retail prices...
asked 3 hours ago