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Problem 3: A manufacturer of electronic calculators offers a one-year warranty. If the calculator fails for...
A manufacturer of electronic calculator offers a 1-year warranty. If the calculator fails for any reason...
A manufacturer of electronic calculator offers a 1-year warranty. If the calculator fails for any reason during this period, it is replaced. The time of failure is modelled by expoential distribution with the prababilty of failure in time t, P(t) = 1 - e - λt where λ is failure rate, with mean life of 12 years. What percentage of the calculator will fail by warranty period? The manufacturer cost of calculator is $75, and the profit per sale is $35....
Problem 3. A video cassette recorder manufacturer is so certain of its quality control that it...
Problem 3. A video cassette recorder manufacturer is so certain of its quality control that it is offering a complete replacement warranty if a recorder fails within 2 years. Based upon compiled data, the company has noted that only 3 percent of its recorders fail during the first year, whereas 2 percent of the recorders that survive the first year will fail during the second year. The warranty does not cover replacement recorders. (a) Formulate the evolution of the status...
3. A car manufacturer offers a 5yr/Unlimited km warranty on one of its models. Historically, 8%...
3. A car manufacturer offers a 5yr/Unlimited km warranty on one of its models. Historically, 8% of cars sold will require repairs under the terms of this warranty. Suppose a dealer sells 190 cars of that model and let X be the number of those cars that will require service under the terms of the warranty. (a) A suitable probability model for X is a binomial distribution. What are the parameters of the binomial model in this case. Justify the...
f(t) = A manufacturer guarantees a product for 1 year. The lifespan of the product after...
f(t) = A manufacturer guarantees a product for 1 year. The lifespan of the product after it is sold is given by the probability density function below, where t is time in months. 0.01e-0.011t ift20 otherwise What is the probability that a buyer chosen at random will have a product failure (A) During the warranty? (B) During the second year after purchase? (A) What is the probability that the product will fail within one year? (Round to three decimal places...
A certain electronic product is 5% likely to be "dead" out of the box. The life expectancy of the...
A certain electronic product is 5% likely to be "dead" out of the box. The life expectancy of the remaining inventory follows an exponential distribution with a mean of 8 years. Define random variable X to model the life expectancy (in years) of the entire (combined) inventory. (a) Mathematically describe the pdf fx(x) (b) Determine EX. I want a number, not a formula. (c) Determine and accurately plot the edf Fx(x) (d) Suppose the manufacturer provides a full replacement warranty...
I know the final answer so if your answer does not match will not get thumbs...
I know the final answer so if your answer does not match will
not get thumbs up
Problem 3. A video cassette recorder manufacturer is so certain of its quality control that it is offering a complete replacement warranty if a recorder fails within 2 years. Based upon compiled data, the company has noted that only 3 percent of its recorders fail during the first year, whereas 2 percent of the recorders that survive the first year will fail during...
5. Time to failure of a household refrigerator. The time to failure of a particular refrigerator...
5. Time to failure of a household refrigerator. The time to
failure of a particular refrigerator type is represented by the
following pdf: , which iObtain the probability and thereby the %
units, or relative frequency of occurrence, of this refrigerator
that are expected to survive its MTTF. f) The refrigerator company
has a 1-month warranty program. Write the expression for and obtain
the probability that the refrigerator will fail during the first
month. F(1/12) = g) Write the expression...
5. For a certain machine it can be assumed that the probability that it fails in...
5. For a certain machine it can be assumed that the probability that it fails in any given hour is approx- imately .0002 (we assume that this probability does not change during the life time of the machine). An hour being a sufficiently short time, we may assume that the lifetime X of the machine follows the exponential distribution with parameter 1 = .0002, where time is measured in hours. (In the notation of the textbook, this is the distribution...
Please answer all the way through g. Time to failure of a household refrigerator. The time...
Please answer all the way through g.
Time to failure of a household refrigerator. The time to failure
of a particular refrigerator type is represented by the following
pdf: , which is valid within 0 ≤ t ≤ 10 yr, and f(t) = 0 elsewhere.
a) Write the expression for R(t), integrate over t from t to
infinity (which here is 10), and obtain the cumulative Reliability
function, R(t). Then calculate the reliability for the first year,
t = 1....
Time to failure of a household refrigerator. The time to failure of a particular refrigerator type...
Time to failure of a household refrigerator. The time to failure
of a particular refrigerator type is represented by the following
pdf: , which is valid within 0 ≤ t ≤ 10 yr, and f(t) = 0 elsewhere.
a) Write the expression for R(t), integrate over t from t to
infinity (which here is 10), and obtain the cumulative Reliability
function, R(t). Then calculate the reliability for the first year,
t = 1. Round your calculated value to 2 sd...
Problem 3. A video cassette recorder manufacturer is so certain of its quality control that it is offering a complete replacement warranty if a recorder fails within 2 years. Based upon compiled data, the company has noted that only 3 percent of its recorders fail during the first year, whereas 2 percent of the recorders that survive the first year will fail during the second year. The warranty does not cover replacement recorders. (a) Formulate the evolution of the status...
3. A car manufacturer offers a 5yr/Unlimited km warranty on one of its models. Historically, 8% of cars sold will require repairs under the terms of this warranty. Suppose a dealer sells 190 cars of that model and let X be the number of those cars that will require service under the terms of the warranty. (a) A suitable probability model for X is a binomial distribution. What are the parameters of the binomial model in this case. Justify the...
f(t) = A manufacturer guarantees a product for 1 year. The lifespan of the product after it is sold is given by the probability density function below, where t is time in months. 0.01e-0.011t ift20 otherwise What is the probability that a buyer chosen at random will have a product failure (A) During the warranty? (B) During the second year after purchase? (A) What is the probability that the product will fail within one year? (Round to three decimal places...
A certain electronic product is 5% likely to be "dead" out of the box. The life expectancy of the remaining inventory follows an exponential distribution with a mean of 8 years. Define random variable X to model the life expectancy (in years) of the entire (combined) inventory. (a) Mathematically describe the pdf fx(x) (b) Determine EX. I want a number, not a formula. (c) Determine and accurately plot the edf Fx(x) (d) Suppose the manufacturer provides a full replacement warranty...
I know the final answer so if your answer does not match will
not get thumbs up
Problem 3. A video cassette recorder manufacturer is so certain of its quality control that it is offering a complete replacement warranty if a recorder fails within 2 years. Based upon compiled data, the company has noted that only 3 percent of its recorders fail during the first year, whereas 2 percent of the recorders that survive the first year will fail during...
5. Time to failure of a household refrigerator. The time to
failure of a particular refrigerator type is represented by the
following pdf: , which iObtain the probability and thereby the %
units, or relative frequency of occurrence, of this refrigerator
that are expected to survive its MTTF. f) The refrigerator company
has a 1-month warranty program. Write the expression for and obtain
the probability that the refrigerator will fail during the first
month. F(1/12) = g) Write the expression...
5. For a certain machine it can be assumed that the probability that it fails in any given hour is approx- imately .0002 (we assume that this probability does not change during the life time of the machine). An hour being a sufficiently short time, we may assume that the lifetime X of the machine follows the exponential distribution with parameter 1 = .0002, where time is measured in hours. (In the notation of the textbook, this is the distribution...
Please answer all the way through g.
Time to failure of a household refrigerator. The time to failure
of a particular refrigerator type is represented by the following
pdf: , which is valid within 0 ≤ t ≤ 10 yr, and f(t) = 0 elsewhere.
a) Write the expression for R(t), integrate over t from t to
infinity (which here is 10), and obtain the cumulative Reliability
function, R(t). Then calculate the reliability for the first year,
t = 1....
Time to failure of a household refrigerator. The time to failure
of a particular refrigerator type is represented by the following
pdf: , which is valid within 0 ≤ t ≤ 10 yr, and f(t) = 0 elsewhere.
a) Write the expression for R(t), integrate over t from t to
infinity (which here is 10), and obtain the cumulative Reliability
function, R(t). Then calculate the reliability for the first year,
t = 1. Round your calculated value to 2 sd...
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