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In: Math
Manufacture of a certain component requires three different machining operations. Machining time for each operation is...
Manufacture of a certain component requires three different machining operations. Machining time for each operation is normally distributed and the three times are independent of one another. The mean values are 15, 30, and 20 minutes respectively. Their standard deviations are 1, 2, and 1.5 minutes respectively. What is the probability that it takes at least 1.5 hour of machining time to produce a randomly selected item
Solutions
milcah answered 2 years agoRelated Solutions
Manufacture of a certain component requires three different machining operations. Machining time for each operation has...
Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal distribution, and the three times are independent of one another. The mean values are 15, 20, and 30 min, respectively, and the standard deviations are 2, 1, and 1.7 min, respectively. What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component? (Round your answer to four decimal places.)
A component requires two (2) operations to complete it. The first operation has the following information:...
A component requires two (2) operations to complete it. The
first operation has the following information: Machining Time =
2.445 min., Handling Time = 1.334 min., Tool Change Time = 21.45
min. which needs to be changed every 1675 pieces with a Tool Cost
of $133.00 per tool. The operational cost for the first operation =
$116.67 per hour. The second operation has the following
information: Machining Time = 1.436 min., Handling Time = 0.849
min., Tool change Time =...
A TV manufacture is supplied with a certain component by a specialist producer. Each incoming consignments...
A TV manufacture is supplied with a certain component by a
specialist producer. Each incoming consignments is subject to the
following quality control procedure. A random sample of 10
components is individually tested. If there are one or more
defective components among the 10 tested, the entire consignment is
rejected. If there are no defective components in the sample, the
consignment is accepted.
i)What are the probabilities of a consignment being rejected if
the true proportions of defective components are:...
Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and...
Hart Manufacturing makes three products. Each product requires
manufacturing operations in three departments: A, B, and C. The
labor-hour requirements, by department, are as follows:
Department
Product 1
Product 2
Product 3
A
1.50
3.00
2.00
B
2.00
1.00
2.50
C
0.25
0.25
0.25
During the next production period the labor-hours available are
450 in department A, 350 in department B, and 50 in department C.
The profit contributions per unit are $25 for product 1, $28 for
product 2,...
Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and...
Hart Manufacturing makes three products. Each product requires
manufacturing operations in three departments: A, B, and C. The
labor-hour requirements, by department, are as follows:
Department
Product 1
Product 2
Product 3
A
3.00
2.00
1.50
B
1.00
2.50
2.00
C
0.25
0.25
0.25
During the next production period the labor-hours available are
450 in department A, 350 in department B, and 50 in department C.
The profit contributions per unit are $28 for product 1, $30 for
product 2,...
Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and...
Hart Manufacturing
makes three products. Each product requires manufacturing
operations in three departments: A, B, and C. The labor-hour
requirements, by department, are as follows:
Department
Product 1
Product 2
Product 3
A
3.00
2.00
1.50
B
1.00
2.50
2.00
C
0.25
0.25
0.25
During the next
production period the labor-hours available are 450 in department
A, 350 in department B, and 50 in department C. The profit
contributions per unit are $28 for product 1, $30 for product 2,...
Robotix manufacture three robots: Mavis, Charles and Koala; each with different capabilities. All three require special...
Robotix manufacture three robots: Mavis, Charles and Koala; each
with different capabilities. All three require special circuits, of
which up to 1,000 can be obtained each week. Mavis takes three of
them, Charles four of them and Koala six of them. Work is limited
to 400 hours per week. The construction of each Mavis consumes two
working hours, Charles one hour and Koala three hours. Profits are
$500, $250 and $400 respectively for each Mavis, Charles and Koala
that is...
An investigator compares the durability of two different compounds used in the manufacture of a certain...
An investigator compares the durability of two different
compounds used in the manufacture of a certain automobile brake
lining. A sample of 65 brakes using Compound 1 yields an average
brake life of 37,409 miles. A sample of 31 brakes using Compound 2
yields an average brake life of 49,036 miles. Assume the standard
deviation of brake life is known to be 1341 miles for brakes made
with Compound 1 and 2961 miles for brakes made with Compound
2. Determine the...
An investigator compares the durability of two different compounds used in the manufacture of a certain...
An investigator compares the durability of two different
compounds used in the manufacture of a certain automobile brake
lining. A sample of 125 brakes using Compound 1 yields an average
brake life of 41,759 miles. A sample of 163 brakes using Compound 2
yields an average brake life of 40,361 miles. Assume that the
population standard deviation for Compound 1 is 3921 miles, while
the population standard deviation for Compound 2 is 3097miles.
Determine the 95% confidence interval for the...
An investigator compares the durability of two different compounds used in the manufacture of a certain...
An investigator compares the durability of two different
compounds used in the manufacture of a certain automobile brake
lining. A sample of 256 brakes using Compound 1 yields an average
brake life of 49,386 miles. A sample of 298 brakes using Compound 2
yields an average brake life of 47,480 miles. Assume that the
population standard deviation for Compound 1 is 1649 miles, while
the population standard deviation for Compound 2 is 3911 miles.
Determine the 95% confidence interval for...
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