1 Aservice engineer receives on average an emergency the time between breakdowns for a particular call every 3 hours. If the time between calls follows machine is an exponential distribution, calculate the probability () greater than 450 hours that the time from one emergency call to the next is (b) less than 350 hours E;)) ::::h:i::' 13 The mean time taken by an engineer to repair an - electrical fault in a system is 2.7 hours. Caleulate the 12 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. @ 03679 (b 0.7769 | 18 oo 2 @ 03247 (v 05831 EXERCISES 29.13the time between breakdowns for a particularA 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 hoursThe mean time taken by an engineer to repair anelectrical fault in a system is 2.7 hours. Calculate theprobability that the engineer will repair a fault in lessthan the mean time.(b) less than 4.5 hours2 The mean time between breakdowns for a certain typeof machine is 400 hours. Calculate the probability thatSolutions1 (a) 0.3679(b) 0.77690.6321(a) 0.3247(b) 0.5831

Name: 1 Aservice engineer receives on average an emergency the time between
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: 1 Aservice engineer receives on average an emergency the time between breakdowns for a particular call every 3 hours. If the time between calls follows machine is an exponential distribution, calculate the probability () greater than 450 hours that t

Note that all the given questions here is the case of exponential distribution and we know form the…

Math

Probability

the time between breakdowns for a particular machine is 1 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 450 hours (b) less than 350 hours (a) greater than 3 hours 3 The mean time taken by an engineer to repair an electrical fault in a system is 2.7 hours. Calculate the probability that the engineer will repair a fault in less than the mean time. (b) less than 4.5 hours 2 The mean time between breakdowns for a certain type of machine is 400 hours. Calculate the probability that

the time between breakdowns for a particular machine is 1 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 450 hours (b) less than 350 hours (a) greater than 3 hours 3 The mean time taken by an engineer to repair an electrical fault in a system is 2.7 hours. Calculate the probability that the engineer will repair a fault in less than the mean time. (b) less than 4.5 hours 2 The mean time between breakdowns for a certain type of machine is 400 hours. Calculate the probability that

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

Solve for the:1. Mean2. Median3. Mode 4. Standard Deviation
The lives (in hours of continuous use) of 100 randomly selected flashlight batteries are: Interval~ Frequency~ 6.95- 7.45 2 7.45- 7.95 8 7.95- 8.45 19 8.45- 8.95 39 8.95- 9.45 20 9.45- 9.95 10 9.95- 10.45 2 a.) Find the mean of the battery lives. ______ hours. b.) Find the standard deviation of the battery lives. ______ hours. (Type an integer or a decimal. Round to two decimal places.)
The table shows the distribution of scores or 40 students on a Mathematics test. 10-12 | 13-15 Score Frequency 16-18 19-21 22-24 25-27 4 |13 9. Estimate the mean score obtained on the test. (a) (b) Estimate the probability that a student selected at andom woukl score at most 15 marks on the test. Using the scale of 1 cm to represent 1 unit on the frequency axis and 2 cm to represent 5 units on the score's axis, use graph paper to draw a frequency polygon to represent the distribution of scores shown in the table. (c)
just part d thank you!
A researcher designs an experiment using two drugs, she prepares 15 independent flasks of yeast growth medium and yeast cells. She adds tunicamycin (T) or caffeine (C) to 5 flasks each. Remaining 5 flasks get no drugs (ND). Doubling time of the yeast cells are measured in each flask, data is in the table. Test if mean doubling time is different than others in at least one growth condition (ND, T or C), using F-test and report an approximate p-value for the level of significance. What is the hypotheses and the assumptions of this test?
Consider an electronic component with a lifetime denoted by a random variable T which is modelled by an exponential distribution with a parameter of average lifetime B = 5. Part A: Exponential Distribution Write the probability that a component is still working after 5 years, as an expression: P(T > 5) = | dt Use t for T e() for exponential function ()! for factorial ( )*( ) for exponents • Help entering equations Part B: Probability Write the probability that a component is still working after 5 years, numerically: P(T > 5) = • Help entering equations Part C: Binomial Distribution Let X be the random variable representing the number of components that are still working after 5 years. Write the binomial distribution for at least 3 components that are still working, as an expression: P(X 2 3) = Use p for parameter p x for the value of the random variable X e() for exponential function C(n,x) for combination of "x out of n" (O! for factorial (O*) for exponents • Help entering equations…
The Table below shows the average score of the150 students sampled from the University of the East Europe in the academic year 2020/2021. Score (out of 100) Number of students 40-49 19 50-59 32 60-69 49 70-79 29 80-89 21 Given that Class Frequency 40 - 49 19 50 - 59 32 60 - 69 49 70 - 79 29 80 - 89 21 Class(1) Frequency (f)(2) Mid value (x)(3) f⋅x(4)=(2)×(3) cf(6) 40-49 19 44.5 845.5 19 50-59 32 54.5 1744 51 60-69 49 64.5 3160.5 100 70-79 29 74.5 2160.5 129 80-89 21 84.5 1774.5 150 n=150 ∑f⋅x=9685 Use your results above to comment on the shape of the distribution. Give a reason for you answer.
Ore
A technician suspect that the number of computer errors recorded per day in the LAN follows a Poisson distribution with a mean of 2 errors per day. Record of the number of errors per day for the past 260 days are shown in table below. Number of Number of Pr(X = x) E (0; – e;) Errors per days ei day 77 1 90 2 55 3 30 4 or more a. Test the hypothesis that the number of computer errors per day has the Poisson distribution with mean 2 at the 5% significance level. b. Find an approximate value of the p – value for the test statistics in (a). 8
Assume a poison distribution if A= 0.5, find p(x=1) the A represents a symbol
Can you help with part b without using Chebyshev's theorem
Quick!