1. The time X in seconds that it takes a certain online computer terminal (theelapsed time between the end user's inquiry and the beginning of system'sresponse to that inquiry) has an exponential distribution with expected time 20seconds. Compute :a) P(X > 20)b) P(20 < X < 30)c) For what value of x is P(X < x) = 0.30

Answered: Image /qna-images/answer/7b33aa79-b584-4941-8548-f7e590f0bfcb.jpg

Answered: 1. The time X in seconds that it takes…

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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9.1.3
According to the U.S. Customs and Border Protection Agency, the average airport wait time (time from arrival at the airport until the completion of security screening) at Chicago's O'Hare Inter- national airport is 32 minutes for a passenger arriving during the hours 4-5 PM. Assume the wait time is exponentially distributed so that p(t) = ke-kt for 0≤t<∞, where k is the reciprocal of the average wait time. Assume t is measured in minutes. 1. Sketch a labeled plot of the relevant pdf on the interval [0, 90] minutes (while remembering that it is defined for all t≥ 0.) 2. Set up integrals (you can write p(t) for the integrand) for the following probabilities: (a) Waiting longer than 60 minutes. (b) Waiting shorter than 30 minutes. (c) Waiting between 20 and 40 minutes. 3. Evaluate the probability that the waiting time is longer than 60 minutes (part 2(a) above) and convert to a percentage with two decimal places.
TF.8
Highway engineers use f(x) = (0.905)* to estimate the likelihood, or probability, that no vehicle will enter a particular intersection within an interval of x seconds. Construct a table of f(x) = (0.905)* starting at x = 0 and incrementing by 10, until x = 50. a. Evaluate f(1) and interpret the result. b. For a time interval of what length is there only a 2% chance that no cars will enter the intersection?
t has been suggested that gossiping about others may affect how likeable you are. Two groups of participants are asked to read a vignette describing a fictional person. They are then asked to rate how much they would like the person described in the vignette on a continuous scale from 1-15, where higher scores represent a higher likability. The first group of participants (n=20) reads a vignette describing a person that frequently gossips and obtains an average likability score of (M1) with a variance of (S12). The second group of different participants (n=20) reads a vignette describing a person that never gossips and obtains an average likability score of (M2) with a variance of (S22). Given that there is not much research in this area, test the hypothesis that gossiping impacts likability at an alpha=0.05. 1, Are the results you obtained meaningful? report the results here for your effect size showing all your work and your interpretation 2. Report the results of the study…
6b

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