A long-distance taxi service owns four vehicles. These are of different ages and have different repair records. The probabilities that, on any given day, each vehicle will be available for use are 0.95, 0.90, 0.90, and 0.80.Whether one vehicle is available is independent of whether any other vehicle is available.a. Find the probability distribution for the number of vehicles available for use on a given day.b. Find the expected number of vehicles available for use on a given day.c. Find the standard deviation of the number of vehicles available for use on a given day.

A long-distance taxi service owns four vehicles. These are of different ages and have different repair records. The probabilities that, on any given day, each vehicle will be available for use are 0.95, 0.90, 0.90, and 0.80.Whether one vehicle is available is independent of whether any other vehicle is available.a. Find the probability distribution for the number of vehicles available for use on a given day.b. Find the expected number of vehicles available for use on a given day.c. Find the standard deviation of the number of vehicles available for use on a given day.

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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A long-distance taxi service owns four vehicles. These are of different ages and have different repair records. The probabilities that, on any given day, each vehicle will be available for use are 0.95, 0.90, 0.90, and 0.80.

Whether one vehicle is available is independent of whether any other vehicle is available.
a. Find the probability distribution for the number of vehicles available for use on a given day.
b. Find the expected number of vehicles available for use on a given day.
c. Find the standard deviation of the number of vehicles available for use on a given day.

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