Answered: A. it will fail before 1000 h B. it…

Math

Probability

A. it will fail before 1000 h B. it will survive at least 10,000 h C. it will fail between 1000 and 10,000 h.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Claims have mean $500, standard deviation $400 and are lognormally distributed. The insurance…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Eastern gray squirrels move around their birth sites to a territorial vacancy. Let X be the distance…

Q: Components that are critical for the operation of electrical systems are replaced immediately upon…

A: 9. The given mean is 500, and standard deviation is 100. That is, μ=500,σ=100. A sample of 10…

Q: It is known to show an exponential distribution where the average lifespan of a type of CPU is eight…

Q: Suppose that replacement times for washing machines are normally distributed with a mean of μ= 8.7…

A: The random variable X defined as the replacement times for washing machines. The random variable X…

Q: Structures in a county need to be designed for earthquake loading. After a detailed seismic risk…

Q: 7. Stress levels (measured by cortisol volume) in a certain population are normally distributed and…

A: Given values, μ=200σ=24n=9x¯=180

Q: Suppose that the probability that a patient admitted in a hospital is diagnosed with a certain type…

Q: t is known to show an exponential distribution where the average lifespan of a type of CPU is nine…

A: Given data, the average lifespan of a type of CPU is nine years.

Q: Explain in general terms the relationship that exists between the Poisson and exponential…

Q: Suppose that the probability that a patient admitted in a hospital is diagnosed with a certain type…

Q: At a train station, there are 7 ticket vending machines. Customers waiting line to buy tickets from…

A: Given information: Number of Vending machines=c=7 Arrvival time=2 minutesλ=12 per minutes=12×60 per…

Q: The following probabilities have been calculated: P(X=1/8) = 0.2, P(X=1/4) = 0.7, P(X= 3/8) = 0.1…

Q: Skewness is defined as ((X-μ)³/a) where is the mean and ² is the variance. If the exponential…

Q: the actual dose administered is normally distributed with mean μ mg and variance σ 2 = 2.6 mg2.

A: It is given that the actual dose administered is normally distributed with mean μ mg and variance σ…

Q: Emergency Room Traffic. A variable is said to have an exponential distribution or to be…

A: Note: Hey there! Thank you for the question. As you have posted a question with several sub-parts,…

Q: 10% is the probability of failure of the students who are taking einstein's test. If there are 100…

A: Consider X denotes students fail the Einstein's test, which follows binomial distribution with n =…

Q: Mention two real life applications for the distribution.

A: There are lot of real life applications of distributions. The of those are as following 1.…

Q: (a) Find the expected value and the variance of the total cost of repairs in a year. (b) The machine…

Q: True or False? Assume the below life table was constructed from following individuals who were…

A: Given information: The given life table was constructed from the individuals who were diagnosed with…

Q: What is the probability that a shower will laast for more than 3 minutes . if a shower has already…

A: Given: Length of the shower is exponentially distributed with mean, 1θ=12

Q: If the inter-arrival time and service time in a public telephone booth with a single phone follow…

Q: 20,17,15,15,22,21,16,16,20,22,15,21 Give the test statistic for this hypothesis test. Choose the…

A: It is given that the sample data of size 12 is 20,17,15,15,22,21,16,16,20,22,15,21 Here, the…

Q: The probability density function for the diameter of a drilled hole in millimeters is 10 e-10(x-5)…

A: Given: The probability density function for the diameter of a drilled hole in millimeter is given as…

Q: Suppose that the length of long distance phone calls, mea- sured in minutes, is known to have an…

A: Given; μ=15 min Let X be a random variable and follows exponential distribution with mean μ. We can…

Q: See image for introduction What is the type II error probability if in fact the radiation level (λ)…

Q: robability that the plant will not be inundated for a period of 5 years? [Note the mean rate of…

A: Given: Probability of inundation = 0.020 Mean rate if flood for inundation per year = 0.012 Mean…

Q: Components that are critical for the operation of electrical systems are replaced immediately upon…

A: Given : life time of certain components follow lognormal distribution with mean =500 and standard…

Q: You know that buffaloes have adult weights that are distributed by B = N(2000,200) where the given…

A: GivenMean(μ)=2000standard deviation(σ)=200

Q: 1, Assume you are managing a manufacturing line consisting of two workstations: Decambering and…

A: Assume you are managing a manufacturing line consisting of workstations: Decambaring and Hemming.…

Q: If X is a continuous random variable, what is the value of X that will be exceeded 30% of the time,…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: 4. In a Exponential distribution with a λ of 5 defects per one square yard, the probability of…

A: Given data λ = 5 defects per square yard x = no. of defects per square yard P(x<6) = ?

Q: The manager of a supermarket tracked the amount of time needed for customers to be served by the…

A: From the provided information, The checkout times are exponentially distributed with a mean of 5…

Q: 34% of CSU students participate in the Statistics Games while they attend CSU. You take a random…

Question

Exponential distribution is most widely used distribution in reliability and risk
assessment. The exponential distribution is closely related with the Poisson
distribution which is discrete. If the number of failure per unit time is Poisson
distribution then the time between failures follows exponential distribution. A system has a failure rate λ = 10−4/h. What is the probability that
A. it will fail before 1000 h
B. it will survive at least 10,000 h
C. it will fail between 1000 and 10,000 h.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

It known that the average number of drop out per month 2.3. If you would like to predict the number of dropouts in a year, then the Poisson rate is?
Terri Vogel, an amateur motorcycle racer, averages 129.41 seconds per 2.5-mile lap (in a 7 lap race) with a standard deviation of 2.25 seconds. The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. (Source: logbook of Terri Vogel) Let X be the number of seconds for a randomly selected lap. Round all answers to 4 decimal places where possible. Find the proportion of her laps that are completed between 129.57 and 130.63 seconds. (______)The fastest 3% of laps are under(______) seconds. The middle 40% of her laps are from(_____) seconds to(_______) seconds.
Suppose that the weight of an newborn fawn is Uniformly distributed between 2.2 and 3.9 kg. Suppose that a newborn fawn is randomly selected. Round answers to 4 decimal places when possible. The mean of this distribution is . The standard deviation is . The probability that fawn will weigh exactly 2.5 kg is P(x=2.5)=P(x=2.5)= . The probability that a newborn fawn will be weigh between 2.6 kg and 3.7 kg is P(2.6<x<3.7)=P(2.6<x<3.7)= . The probability that a newborn fawn will be weigh more than 3.24 kg is P(x>3.24)=P(x>3.24)= . P(x>2.8∣x<3.3)=P(x>2.8∣x<3.3)= . Find the 45th percentile. kg
a, b, d,
Suppose that replacement times for washing machines are normally distributed with a mean of μ= 8.7 years and a standard deviation of σ= 1.6 years. Find and graph P25 the replacement time that separates the bottom 25% from the top 75%.
Please help me with this homework question.
Product failure behavior. An article in Hotwire (Dec. 2002) discussed the length of time till failure of a product pro- duced at Hewlett-Packard. At the end of the product’s life- time, the time till failure is modeled using an exponential distribution with mean 500 thousand hours. In reliability jargon, this is known as the “wear-out” distribution for the product. During its normal (useful) life, assume the prod- uct’s time till failure is uniformly distributed over the range 100 thousand to 1 million hours. a. At the end of the product’s lifetime, find the probability that the product fails before 700 thousand hours. b. During its normal (useful) life, find the probability that the product fails before 700 thousand hours. c. Show that the probability of the product failing before 830 thousand hours is approximately the same for both the normal (useful) life distribution and the wear-out distribution
Data can be approximated quite well by a N(3.4, 3.1) model. Economists become alarmed when productivity decreases. According to the normal model what is the probability that the percent change in worker output per hour from the previous quarter is more than 1.6 standard deviations below the mean? What is the probability that the percent change in worker output from the previous quarter is between -1.56 and 4.33?
please answer in 30 minutes.
The time between failures of our video streaming service follows an exponential distribution with a mean of 40 days. Our servers have been running for 17 days, What is the probability that they will run for at least 97 days? (clarification: run for at least another 80 days given that they have been running 17 days). Report your answer to 3 decimal places.
4. As fallen trees lie on the forest floor they slowly decay. Will the amount of light present have an impact on the rate of decay? In the following table x is a random variable representing the remaining percentage of total mass of a log after it was exposed to the elements for three weeks while y represents the numbers of hours of direct sunlight the log received each day. X 0.60 .70 .65 .82 .87 y 1.0 2.3 3.0 4.0 4.5 (a) Plot a scatter diagram of the data. Remember to label your axes appropriately and choose a consistent scale. (b) Based on a scatter diagram, would you estimate the correlation coefficient to be positive, close to zero, or negative? Please circle one of the following choices: A. Positive B. Close to zero C. Negative (c) Interpret your results from parts (a) and (b). 16 tv
Define on empirical way and a statistical way to choose the best forecasting model for your time series data. Consider the following situations: 1. The data has no trend or seasonality 2. The data has trend but not seasonality 3. The data presents trend and seasonality but negligible noise 4. The data presents trend, seasonality and significant noise.