A certain component is critical to the operation of an electrical system and must be replaced...
A certain component is critical to the operation of an electrical system and must be replaced immediately upon failure. If the mean life of this type of component is 90 hours and its standard deviation is 34 hours, find the minimum number of these components to stock so that the probability that the system is in continual operation for the next 2000 hours is at least 0.95
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A certain component is critical to the operation of an
electrical system and must be replaced...
Problem 9.5. Suppose that an electrical component manufactured by Johnny Depp Electrical Company is designed to...
Problem 9.5. Suppose that an electrical component manufactured by Johnny Depp Electrical Company is designed to provide a mean service life of 1,000 hours, with a standard deviation of 100 hours. Assume that the service life is normally distributed. (a) When a customer purchases one component, what is the probability that the service life of the component will exceed 1,100 hours? P[ X > 1,100 ] = P[ Z > 1 ] = 15.87% (b) Suppose that a customer purchases...
4. The amount of time T (in hours) that a certain electrical component takes to fail...
4. The amount of time T (in hours) that a certain electrical component takes to fail has an exponential distribution with parameter > 0. The component is found to be working at midnight on a certain day. Let N be the number of full days after this time before the component fails (so if the component fails before midnight the next day, N = 0). (a) What is the probability that the component lasts at least 24 hours? (b) Find...
Lifetime of electronics: In a simple random sample of 100 electronic components produced by a certain...
Lifetime of electronics: In a simple random sample of 100 electronic components produced by a certain method, the mean lifetime was 125 hours. Assume that component lifetimes are normally distributed with population standard deviation - 20 hours. Round the critical value to no less than three decimal places. Part: 0/2 Part 1 of 2 (a) Construct a 90% confidence interval for the mean battery life. Round the answer to the nearest whole number. A 90% confidence interval for the mean...
2. A certain type of electronic component has a lifetime X (in hours) with probability density...
2. A certain type of electronic component has a lifetime X (in hours) with probability density function given by otherwise. where θ 0. Let X1, . . . , Xn denote a simple random sample of n such electrical components. . Find an expression for the MLE of θ as a function of X1 Denote this MLE by θ ·Determine the expected value and variance of θ. » What is the MLE for the variance of X? Show that θ...
Manufacture of a certain component requires three different machining operations. The amount of time each operation...
Manufacture of a certain component requires three different machining operations. The amount of time each operation requires (operation time) is normally distributed with mean 10 and variance 4. The three operation times are independent. Referring to the previous manufacturing example, now suppose that the cost for the first machining operation is $1 per minute. That for the second and third operations are $2 per minute and $3 per minute, respectively. What is the probability that total cost for making the...
An electrical firm which manufactures a certain type of bulb wants to estimate its mean life....
An electrical firm which manufactures a certain type of bulb wants to estimate its mean life. The life of the light bulb is normally distributed with a standard deviation of 40 hours. A random sample of 36 bulbs resulted in a mean of 200 hours. a) (3 points) Construct a 92% confidence interval for the mean life of all light bulbs the firm manufactures. b) (4 points) How many bulbs should be tested so that we can be 92% confident...
An electrical firm which manufactures a certain type of bulb wants to estimate its mean life....
An electrical firm which manufactures a certain type of bulb wants to estimate its mean life. The life of the light bulb is normally distributed with a standard deviation of 40 hours. A random sample of 36 bulbs resulted in a mean of 200 hours. a) (3 points) Construct a 92% confidence interval for the mean life of all light bulbs the firm manufactures. b) (4 points) How many bulbs should be tested so that we can be 92% confident...
A system is subject to two types of failure. When a failure occurs, it is type...
A system is subject to two types of failure. When a failure occurs, it is type 1 with 40% probability The time from when the system is repaired until a new failure occurs exponentially distributed with mean of 30 days. If the failure is type 1, two different components are repaired by two repairmen in exponentially and independently distributed periods each with a mean of 2 days. If the failure is type 2, one component is repaircd by one repairman...
An electrical firm manufactures a certain type of LED light bulb and claims that the average bulb lifetime is at least 800 hours
An electrical firm manufactures a certain type of LED light bulb and claims that the average bulb lifetime is at least 800 hours. To test this, a random sample of 60 bulbs is taken. The average life of the sample is found to be 788 hours with a standard deviation of 40 hours.(a) At a level of 0.05 significance, is there compelling evidence to doubt the comp any's claim? Be sure to state the appropriate hypotheses, and specify the rejection...
Answers only is fine! Find the critical value zc necessary to form a confidence interval at...
Answers only is fine! Find the critical value zc necessary to form a confidence interval at the level of confidence shown below. c=0.92 Find the margin of error for the given values of c, σ, and n. c = 0.95, σ =2.4, n = 8.1 Level of Confidence. zc 90% 1.645 95% 1.96 99% 2.575 Construct the confidence interval for the population mean μ. c=0.98, x=9.5, σ=0.3, and n= 52 Construct the confidence interval for the population mean μ. c=0.95, x=16.7, σ=6.0, and n=...
Lifetime of electronics: In a simple random sample of 100 electronic components produced by a certain method, the mean lifetime was 125 hours. Assume that component lifetimes are normally distributed with population standard deviation - 20 hours. Round the critical value to no less than three decimal places. Part: 0/2 Part 1 of 2 (a) Construct a 90% confidence interval for the mean battery life. Round the answer to the nearest whole number. A 90% confidence interval for the mean...
2. A certain type of electronic component has a lifetime X (in hours) with probability density function given by otherwise. where θ 0. Let X1, . . . , Xn denote a simple random sample of n such electrical components. . Find an expression for the MLE of θ as a function of X1 Denote this MLE by θ ·Determine the expected value and variance of θ. » What is the MLE for the variance of X? Show that θ...
An electrical firm which manufactures a certain type of bulb wants to estimate its mean life. The life of the light bulb is normally distributed with a standard deviation of 40 hours. A random sample of 36 bulbs resulted in a mean of 200 hours. a) (3 points) Construct a 92% confidence interval for the mean life of all light bulbs the firm manufactures. b) (4 points) How many bulbs should be tested so that we can be 92% confident...
A system is subject to two types of failure. When a failure occurs, it is type 1 with 40% probability The time from when the system is repaired until a new failure occurs exponentially distributed with mean of 30 days. If the failure is type 1, two different components are repaired by two repairmen in exponentially and independently distributed periods each with a mean of 2 days. If the failure is type 2, one component is repaircd by one repairman...
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