Question

For a given Brand A battery, independent of all other Brand A batteries, the useful lifetime...

For a given Brand A battery, independent of all other Brand A batteries, the useful lifetime (in weeks) is a gamma random variable with parameters 1 and 1/5. What is the probability that in a batch of 9 Brand A batteries, at most one will have a useful lifetime of at least 7 weeks?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
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
Similar Questions
The lifetime of a certain brand of battery is known to have a standard deviation of...
The lifetime of a certain brand of battery is known to have a standard deviation of 16 hours. Suppose that a random sample of 50 such batteries has a mean lifetime of 37.6 hours. Based on this sample, find a 90% confidence interval for the true mean lifetime of all batteries of this brand. Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. ( If necessary, consult...
When used in a particular DVD player, the lifetime of a certain brand of battery is...
When used in a particular DVD player, the lifetime of a certain brand of battery is normally distributed with a mean value of 12 hours and a standard deviation of 0.8 hours. Suppose that two new batteries are independently selected and put into the player. The player ceases to function as soon as one of the batteries fails. (Use a table or technology.) (a) What is the probability that the DVD player functions for at least 10 hours? (Round your...
A large shipment of batteries consists of three brands, say A, B, and, C. One battery...
A large shipment of batteries consists of three brands, say A, B, and, C. One battery of each brand will be randomly selected and tested to determine if they work properly. Assume that whether one battery works properly or not is independent of any other battery working properly or not. Let WA=brand A works properly WB=brand B works properly WC=brand C works properly Assume we know that the probabilities of the brands working properly are given by: P(WA)=.90 P(WB)=.85 P(WC)=.95...
Question 1 Battery lifetime A firm produces batteries that have a lifetime which is normally distributed...
Question 1 Battery lifetime A firm produces batteries that have a lifetime which is normally distributed with a mean of 360 minutes and a standard deviation of 30 minutes. The firm needs to keep an eye on the production process to ensure that everything is working properly and that batteries are not being produced that do not meet the advertised standard. This is done by calculating the mean of the sample. To do this they regularly select a sample of...
For its operation, one type of electronic device has two batteries: a main battery and a...
For its operation, one type of electronic device has two batteries: a main battery and a secondary battery. The device works with a single battery. When the main battery reaches the end of its useful life, the secondary battery automatically operates the device. At the end of the life of the secondary battery, the device is no longer usable. Let X and Y be the lifetimes (in years) of the main and secondary batteries respectively. The variable X is distributed...
Suppose that the lifetime of a battery (in thousands of hours) is a random variable X...
Suppose that the lifetime of a battery (in thousands of hours) is a random variable X whose p.d.f. is given by: { 0 x <= 0 f(x) = { { ke^(-2x) 0 < x (a) Find the constant k to make this a legitimate p.d.f. Also sketch this p.d.f. [Hint: improper integral.] (b) Determine the c.d.f. of X. Also sketch this c.d.f. (c) Determine the mean [Hint: Integration By Parts] ... ... and median of X, and comment on how...
Question 7. (One Variance) A set of solar batteries is used in a research satellite. The...
Question 7. (One Variance) A set of solar batteries is used in a research satellite. The satellite can only run on one battery, but it runs best if more than one battery is used. The variance σ 2 of lifetimes of these batteries affects the useful lifetime of the satellite before it goes dead. If the variance is too small, all the batteries will tend to die at once. If the variance is too large, the batteries are simply not...
Daniel and Seema are exploring a cave, and each have brought a flashlight. The lifetimes of...
Daniel and Seema are exploring a cave, and each have brought a flashlight. The lifetimes of their flashlight batteries can be considered independent exponential random variables with rate parameters ?s λd (where D denotes Daniel and S denotes Seema). Suppose one of their batteries has just gone out. What is the expected additional lifetime of the other person's battery? A) Solve for the remaining lifetime in terms of ??λD and ??λS. Show all work and come up with a general...
Three different brands of car batteries, each having a 42 month warranty, were included in a...
Three different brands of car batteries, each having a 42 month warranty, were included in a study of battery lifetime. A random sample of batteries of each brand was selected, and lifetime, in months, was determined. An analysis of variance was conducted and the p-value was 0.053. The hypothesis that all mean lifetimes are the same was retained at the 5% level. Multiple comparisons of the means were also carried out with the following (somewhat contradictory) findings: The Tukey's 95%...
The lifetime of a certain brand of electric light bulb is known to have a standard...
The lifetime of a certain brand of electric light bulb is known to have a standard deviation of 53 hours. Suppose that a random sample of 100 bulbs of this brand has a mean lifetime of 481 hours. Find a 99% confidence interval for the true mean lifetime of all light bulbs of this brand. Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT