HomeworkLib
Question

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

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

0 0
Add a comment
Know the answer?
Add Answer to:
A certain component is critical to the operation of an electrical system and must be replaced...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • A critical component of a management system fails on average 0.004 times per 2000 hours. The...

    A critical component of a management system fails on average 0.004 times per 2000 hours. The number of components that fail per unit of time is poisson distributed. Consider a randomly selected critical component of this type. TASK What is the probability that the life of the component will be more than 13000 hours? Round your answer to 4 decimal places.

  • 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...

  • Example 1: Electronic components of a certain type have a length life (in hours) X, that...

    Example 1: Electronic components of a certain type have a length life (in hours) X, that follows the exponential distribution with probability density given by f(x) = (1/100)e ^ [(− 1/100)x] , x > 0. a. Suppose that 2 such components operate independently and in series in a certain system (that is, the system fails when either component fails). Find the density function for the length of life of the system. b. Suppose that 2 such components operate independently and...

  • 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...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT