1. When a movie is released in a movie theater, it is this film-ad-this-film-ad that alternates all the time.Consider a movie with 2.5 hours of commercial + running time now in theaters. If you didn't read the playschedule when you went out today, the movie's play time when you got to the theater can be regarded as auniform density function.a. Please estimate the probability that you will arrive at the theater within 4 minutes before or after themovie starts. (round to 2 decimal places)b. Find the expected value of the time the movie has been released when you arrive at the theater.

From the given information, it is clear that, the movie's play time is regarded as a uniform density…

Answered: . When a movie is released in a movie…

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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Suppose an electric-vehicle manufacturing company estimates that a driver who commutes 50 miles per day in a particular vehicle will require a nightly charge time of around 1 hour and 30 minutes (90 minutes) to recharge the vehicle's battery. Assume that the actual recharging time required is uniformly distributed between 70 and 110 minutes. (a) Give a mathematical expression for the probability density function of battery recharging time for this scenario. f(x) = , 70 ≤ x ≤ 110 , elsewhere
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- If we assume that the moment of death of a tilapia fish in one of the commercial ponds for selling fish is Random and regular on the time period [300,0] where time is measured in minutes. So what is it Prospect 1. That the moment of death of this fish is more than three hours 2- This fish should live less than three hours 3- Find the density function, then find the expectation and variance
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Suppose an electric-vehicle manufacturing company estimates that a driver who commutes 50 miles per day in a particular vehicle will require a nightly charge time of around 1 hour and 40 minutes (100 minutes) to recharge the vehicle's battery. Assume that the actual recharging time required is uniformly distributed between 80 and 120 minutes. (a) Give a mathematical expression for the probability density function of battery recharging time for this scenario. f(x) = , 80 ≤ x ≤ 120 , elsewhere (b) What is the probability that the recharge time will be less than 109 minutes? (c) What is the probability that the recharge time required is at least 91 minutes? (Round your answer to four decimal places.) (d) What is the probability that the recharge time required is between 90 and 100 minutes?

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