Q. 3 A service time (in minutes) of post office is exponentially distributed with 2 = 0.2.(a) Suppose that no one is there, and that you get the service immediately. Find theprobability that it takes more than 5 minutes to complete the business.(b) Suppose that someone else is in service ahead of you, and that you are next in line. Findthe probability that you wait more than 5 minutes.

a) To find the probability that it takes more than 5 minutes to complete the business at the post…

Answered: Q. 3 A service time (in minutes) of…

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...

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The distribution of the time until a Web site changes is important to Web crawlers that search engines use to maintain current information about Web sites. The distribution of the time until change (in days) of a Web site is approximated in the following table. Days until Probability Changes 1.5 0.05 0.25 0.35 0.20 0.15 3 4.5 7 Calculate the probability mass function of the days until change. *Answers should be in rational numbers with 2 decimal places.
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Prob-2 The diameter of metal cylinder has a probability density function of f(x)=1.5-6(x-50.0)² [mm] 500 metal cylinders delivered to engine assembely plant... How many cylinders' diameters, D< 50.0 mm ? Sol:
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X P(x) =C p*q"-x %3D When processing credit-card applications there is a 40% chance that an application will have incomplete or insufficient information and require research. You have 5 applications in your to-do pile and would like to leave early today. (a) Fill in the values: n = q = (b) What is the probability of exactly three applications needing research? (enter a number between 0 and 1, 4 decimal places) Answer= (c) What is the expected number of applications that will need research? Answer= (d) What is the probability of having AT LEAST the expected number of applications needing research? (enter a number between 0 and 1, 4 decimal places) Answer= Please answer all parts of the question.
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Number of 0 1 2 3 4 5 6 malfunctions: Probability: f(x) | 0.17 0.29 0.27 0.16 0.07 0.03 0.01
Q.2. What is the use of differencing in a time series? Also, explain the importance of stationarity.

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