. A service engineer receives on average an emergency the m_ne l_)elween breakdowns forparticular call every 3 hours. If the time between calls follows machine is an exponential distribution, calculate the probability (a) greater than 450 hours that the time from one emergency call to the next is (b) less than 350 hours (a) greater than 3 hours . (b) less than 4.5 hours The mean time taken by an engineer to repair an electrical fault in a system is 2.7 hours. Calculate the . The mean time between breakdowns for a certain type probability that the engineer will repair a fault in less of machine is 400 hours. Calculate the probability that than the mean time. EXERCISES 29.13the time between breakdowns for a particular1 A service engineer receives on average an emergencycall every 3 hours. If the time between calls followsan exponential distribution, calculate the probabilitythat the time from one emergency call to the next ismachine is(a) greater than 450 hours(b) less than 350 hours(a) greater than 3 hours3 The mean time taken by an engineer to repair an(b) less than 4.5 hourselectrical fault in a system is 2.7 hours. Calculate theprobability that the engineer will repair a fault in lessthan the mean time.2 The mean time between breakdowns for a certain typeof machine is 400 hours. Calculate the probability that

Name: . A service engineer receives on average an emergency the m_ne l_)elwe
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: . A service engineer receives on average an emergency the m_ne l_)elween breakdowns forparticular call every 3 hours. If the time between calls follows machine is an exponential distribution, calculate the probability (a) greater than 450 hours that

Answered: Image /qna-images/answer/a2991792-8c2a-4847-b0a0-82676a0348c3.jpg

Math

Probability

A service engineer receives on average an emergency call every 3 hours. If the time between calls follows an exponential distribution, calculate the probability that the time from one emergency call to the next is (a) greater than 3 hours (b) less than 4.5 hours

A service engineer receives on average an emergency call every 3 hours. If the time between calls follows an exponential distribution, calculate the probability that the time from one emergency call to the next is (a) greater than 3 hours (b) less than 4.5 hours

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

Lost-time accidents occur in a company at a mean rate of 0.3 per day. Using the data above, what is the probability that the number of lost-time accidents occurring over a period of 7 days will be more than 3?
The number of substances produced by a radioactive breakdown shows a Poisson distribution with a mean of 25. Use the Poisson distribution to find the probability that the number of substances occurring in 1 second is between 23 and 27.
Does playing Mozart for unborn babies result in having children with higher IQs? A psychologist obtains a random sample of 30 mothers in the first trimester of their pregnancy. The mothers are asked to play Mozart in the house at least 45 minutes each day until they give birth. We know that IQs are normally distributed with a mean of 100. A few years after their births the children were given an IQ test and the IQs of the 30 children in the study resulted in a sample mean of 104.2. Assume the population standard deviation for IQ of children is 15. Is there evidence that the children who listen to Mozart for at least 45 minutes each day during pregnancy have higher IQs at the 0.05 level of significance? Use the p-value approach. a. Define the parameter we are testing and setup a hypothesis test to see if the mean IQ of children who listened to Mozart at least 45 minutes a day during pregnancy is higher than the national mean of 100: b. Calculate the test statistics for this…
If arrivals occur at a mean rate of 2.6 events per minute the exponential probability of waiting more than 1.5 minutes for the next arrival is is a .0202 or .0122 or .0535 or .2564
A health and safety consultant working in a large department store finds that the wait time for a lift on the second floor of the building can be modelled with a continuous uniform distribution ranging from 1 to 5 minutes. The lift takes 30 seconds to move from one floor to the next. Calculate the probability that a person can reach the ground floor in less than 2.25 minutes after pushing the button to request the lift on the second floor.
Suppose that the duration of a particular type of criminal trial is known to have a mean of 18 days and a standard deviation of 6 days. We randomly sample 9 trials.Give the distribution of ΣX.Find the probability that the total length of the 9 trials is more than 188 days. 70 percent of the total of 9 of these types of trials will last more than how long? (Round your answer to two decimal places.)days
The average amount of time until a car accident on a particular 60 mile stretch of road is 30 minutes. Assume(unreasonably) that car accidents are independent, the time to a car accident is exponentially distributed, and that two accidents cannot occur at the same time. a. What is the probability of a car accident occurring in the first hour?b. What is the probability of a car accident occurring between 15 and 45 minutes? c. What is the variance of the time until a car accident occurs? If a car accident has not happened in 2 hours, what is the probability it will happen in the next hour? DO NOT USE THE INTEGRATION METHOD PLEASE.
Does playing Mozart for unborn babies result in having children with higher IQs? A psychologist obtains a random sample of 30 mothers in the first trimester of their pregnancy. The mothers are asked to play Mozart in the house at least 45 minutes each day until they give birth. We know that IQs are normally distributed with a mean of 100. A few years after their births the children were given an IQ test and the IQs of the 30 children in the study resulted in a sample mean of 104.2. Assume the population standard deviation for IQ of children is 15. Is there evidence that the children who listen to Mozart for at least 45 minutes each day during pregnancy have higher IQs at the 0.05 level of significance? Use the p-value approach. Select the correct conclusion for this test: We fail to reject the null hypothesis because the p-value is less than the level of significance. We fail to reject the null hypothesis because the p-value is greater than the level of significance. We…
Suppose the time it takes for guests to wait for an elevator at the lobby of a certain office building has a uniform distribution between 0 and 4 minutes. What is the probability that, the next time you need to take this elevator, you'll have to wait at most 1.6 minutes? (Your answer should be a decimal. Round to 4 decimal places if necessary.)
A certain brokerage house wants to estimate the mean daily return on a certain stock. A random sample of 12 days yields the following return percentages.−1.81, 1.54, 1.52, −2.58, −2.3, 0.97, 0.93, −1.06, 1.04, 0.2, −0.63, −2.75 Send data to calculator If we assume that the returns are normally distributed, find a 90% confidence interval for the mean daily return on this stock. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) Lower limit: ? Upper limit: ?