John bought a second-hand car that was driven 16 kilometers (km) from sahibindenmiacaba.com. What is the probability that he will be able to drive this car at least for another 20 km before it has to be salvaged if life of a car (in km) is exponentially distributed with a rate parameter of 1/30? Answer uniformly distributed over (0, 140)? Answer

John bought a second-hand car that was driven 16 kilometers (km) from sahibindenmiacaba.com. What is the probability that he will be able to drive this car at least for another 20 km before it has to be salvaged if life of a car (in km) is exponentially distributed with a rate parameter of 1/30? Answer uniformly distributed over (0, 140)? Answer

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

Similar questions

During a professor's office hours, students arrive, on average, every ten minutes. Assume that the distribution of the time between arrivals follows an exponential distribution. Suppose that a student has just left. Suppose that a student has just left. Only 25% of the time will the professor have to wait approximately how long or longer before the next student shows up?
It should be stated that the battery of a pos device has an exponential distribution with an average life span of five years in standard use. What is the probability that a user who uses a Pos device for 3 years without a battery problem will encounter a battery problem in the next year?
A Lumix Panasonic camera has a rechargeable battery. The battery life before recharging is needed can be modeled as an exponential distribution with λ = 0.05. a. Calculate the standard deviation of the battery’s life before recharging. b. Calculate the probability that the battery will last more than 20 hours.
An economist has observed that the time between recessions has an exponential distribution with mean 100 months. Find the probability that the time between recessions will be located in the interval (50, 200) months given that it exceeds 100 months. (Enter your answer to two decimal places. For "0.72", you would write 0.72). Do not round.
The life of light bulbs is distributed normally. The variance of the lifetime is 900 and the mean lifetime of a bulb is 550 hours. Find the probability of a bulb lasting for at least 583 hours. Round your answer to four decimal places
The largest cat in North America is the Jaguar, they can sometimes be seen in the mountains of southern Texas, Arizona and New Mexico, (and less recently southern California). The rate of observances by humans is about 3/20 years. Assume we don't get Trump's border wall which would isolate the US population from the rest, and presumably cut off their chance of breeding. Chances of seeing 5 or more separate Jaguars within 5 years is 0.0011. a. Your cameras also produce pictures of wolf sized canids, either wolves or coy-wolves in the same region (very different times). Each year your cameras catch about 40 of these animals and about 30 cougars and about 400 bear and 800 feral Hogs. Assume that these numbers are all population rates for poisson. Given your camera Network catches a non human large animal (and the above list is all of them): Out of 200 large non human animals what is the probabilty that between 80 and 150 are feral hogs?
Many electronics follow a failure rate described by an exponential probability density function (PDF). Solar panels are advertised to last 20 years or longer, but panels made in China are failing at a higher rate. The time-to-failure of this device is usually exponentially distributed with mean 11 years. What is the probability of failure in the first 5 years?
The largest cat in North America is the Jaguar, they can sometimes be seen in the mountains of southern Texas, Arizona and New Mexico, (and less recently southern California). The rate of observances by humans is about 3/20 years. Assume we don't get Trump's border wall which would isolate the US population from the rest, and presumably cut off their chance of breeding. Chances of seeing 5 or more separate Jaguars within 5 years is 0.0011. a. Your cameras also produce pictures of wolf sized canids, either wolves or coy-wolves in the same region (very different times). Each year your cameras catch about 40 of these animals and about 30 cougars and about 400 bear and 800 feral Hogs. Assume that these numbers are all population rates for poisson. Given your camera Network catches a non human large animal (and the above list is all of them): What is the probability it is a jaguar? What is the probability it is a feral hog? Out of 15 large non-human animals, what is the probability…
Reliability testing of the new 2.0 liter Chevy automotive engine has resulted in a time to failure distribution which is lognormal with = 90,000 mi. and s = 0.60. Find: med %3D a. R(40,000 mi.) b. MTTF and Std. Dev. c. R(90,000|40,000) d. t .90
As a data analyst, I received requests at a rate of 1 every 25 minutes, exponentially distributed. Determine the probability that the interval between succeedingmessages is more than 1 hour
The working life time, in years, of a particular model of electric oven is exponentially distributed with mean of 8. Find the 22th percentile of the working lifetime, in years.
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.