Question
In: Statistics and Probability
Based on extensive testing, a manufacturer of washing machines believes that the distribution of the time...
Based on extensive testing, a manufacturer of washing machines
believes that the
distribution of the time (in years) until a major repair is
required has a Weibull
distribution with alpa =2/3 and β=2.
a. What is the mean time until a major repair is required?
b. If the manufacturer guarantees all machines against a major
repair for 1 year,
what proportion of all new washers will have to be repaired under
the
guarantee?
Solutions
orchestra answered 1 year agoRelated Solutions
Consider Exercise 3.31 on page 94. Based on extensive testing, it is determined that the time Y in years before a major repair is required for a certain washing machine is characterized by the density function
Consider Exercise 3.31 on page 94. Based on extensive testing, it is determined that the time Y in years before a major repair is required for a certain washing machine is characterized by the density function Note that Y is an exponential random variable with μ = 4 years. The machine is considered a bargain if it is unlikely to require a major repair before the sixth year. What is the probability P(Y > 6)? What is the probability that...
Robert Altoff is vice president of engineering for a manufacturer of household washing machines. As part...
Robert Altoff is vice president of engineering for a
manufacturer of household washing machines. As part of a new
product development project, he wishes to determine the optimal
length of time for the washing cycle. Included in the project is a
study of the relationship between the detergent used (four brands)
and the length of the washing cycle (18, 20, 22, or 24 minutes). In
order to run the experiment, 32 standard household laundry loads
(having equal amounts of dirt...
Robert Altoff is vice president of engineering for a manufacturer of household washing machines. As part...
Robert Altoff is vice president of engineering for a
manufacturer of household washing machines. As part of a new
product development project, he wishes to determine the optimal
length of time for the washing cycle. Included in the project is a
study of the relationship between the detergent used (four brands)
and the length of the washing cycle (18, 20, 22, or 24 minutes). In
order to run the experiment, 32 standard household laundry loads
(having equal amounts of dirt...
. A company selects three washing machines from their manufacturing line for quality testing. Call these...
. A company selects three washing machines from their
manufacturing line for quality testing. Call these three washing
machines A, B and C. Each washing machine can be of high quality
(suitable for sale), medium quality (requires some rework) or low
quality (will be scrapped). [5 points each]
a. List the elements of the sample space. You need to consider
that each washing machine might be of each quality type and don’t
forget to include all three washing machines.
b....
A company sells washing machines for $340 each. To produce a batch of n washing machines,...
A company sells washing machines for $340 each. To produce a
batch of n washing machines, there is a cost of $249 per washing
machine and a fixed or setup cost of $14,600 for the entire batch.
Determine a function that gives the profit in terms of the number
of washing machines produced. What is the least number of washing
machines the company can sell in order to have a profit of
$14,000?
The manufacture of a washing powder product used in automatic washing machines has estimated the following...
The manufacture of a washing powder product used in automatic
washing machines has estimated the following demand equation for
its product using data from 30 appliances stores around the
country.
Q= -350 - 2.0P + 1.2 Px + 5.0I + 6.0 A + 5.0U
(3.08) (0.60)
(0.55) (0.32) (0.80) (0.021) (SEC)
The actual values for each of the independent variables are as
follows. Assume the following information for the independent
variables:
Q = Quantity sold per month
Price (P) of...
A tire manufacturer believes that the life of its tires follow a normal distribution with a...
A tire manufacturer believes that the life of its tires follow a
normal distribution with a mean of 46,000 miles and a standard
deviation of 4,000 miles. What mileage can he guarantee each tire
to last so that 99% of the tires last longer than the guaranteed
lifetime?
Consumer Reports provided extensive testing and ratings of 24 treadmills. They provided an overall score based...
Consumer Reports provided extensive testing and ratings
of 24 treadmills. They provided an overall score based on ease of
use, ergonomics, exercise range, and quality. Higher scores
indicated higher performance. The following data gives Price (in
dollars), an overall categorical quality rating (Good, Very Good,
Excellent), and the performance score (Consumer Reports,
February 2006). Basic summary statistics for the numerically-scaled
variables are also provided.
Brand & Model
Price
Quality
Score
Landice L7
2900
Excellent
86
NordicTrack S3000
3500
Very good...
If the population standard deviation of the lifetime of washing machines is estimated to be 900...
If the population standard deviation of the lifetime of washing
machines is estimated to be 900 hours, how large a sample must be
taken in order to be 96% confident that the margin of error will
not exceed 100 hours?
Consumer Reportsprovided extensive testing and ratings for more than 100 HDTVs. An overall score, based primarily...
Consumer Reportsprovided extensive testing and ratings
for more than 100 HDTVs. An overall score, based primarily on
picture quality, was developed for each model. In general, a higher
overall score indicates better performance. The following
(hypothetical) data show the price and overall score for the ten
42-inch plasma televisions (Consumer Reportdata slightly
changed here):
Brand
Price (X)
Score (Y)
Dell
2900
50
Hisense
2800
52
Hitachi
2700
45
JVC
3500
60
LG
3300
56
Maxent
2000
30
Panasonic...
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