Calculus:In a certain city, the probability density function for x minutesto be the length of a telephone call selected at random is given byе 3if x >0f (x)if x < 0Find the probability that a telephone call selected at random will lasta. between 1 minute and 2 minutesb. at least 5 minutes

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Answered: Find the probability that a telephone…

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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Q10. Given that the switchboard of a consultant's office receives on average 0.8 calls per minute, find the probability that in a 5-minute interval there will be exactly 4 calls, and in the following 4- minute interval, there will be exactly 1 call. (Consider the entire 9 minute interval to calculate your answer.)
Solve the following:

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Find the probability that a telephone call selected at random will last a. between 1 minute and 2 minutes b. at least 5 minutes