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Chapter 3: Q37E (page 181)

Do social robots walk or roll? Refer to the International Conference on Social Robotics (Vol. 6414, 2010) study of the trend in the design of social robots, Exercise 3.10 (p. 168). Recall that in a random sample of 106 social robots, 63 were built with legs only, 20 with wheels only, 8 with both legs and wheels, and 15 with neither legs nor wheels. Use the complements rule to find the probability that a randomly selected social robot is designed with either legs or wheels.

Short Answer

Expert verified

0.858

Step by step solution

01

Introduction

The possibility of an event occurring is defined as a probability. Probability theory examines the likelihood of events happening. Probabilities can be thought of as the long-term fraction of times an event happens throughout a random process or the likelihood of a specific result occurring.

02

Find the probability of a Robot either with legs or wheels

Given that,

Sample robots = 106

Robots with legs = 63

Robot with wheels = 20

Robot with both legs and wheels = 8

Robot with neither legs nor wheels = 15

P鈥�(eitherwithlegsorwheels)=1鈭�P鈥�(neitherwithlegsorwheels)

P鈥�(neitherwithlegsorwheels)=15106

P鈥�(eitherwithlegsorwheels)=1鈭�15106=106鈭�15106=91106=0.858

Hence, the probability of a robot either with legs or wheels is 0.858.

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Two fair coins are tossed, and the following events are defined:

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a. Define the possible sample points and assign probabilities to each.

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B = {Adele 2, White Stripes 1, Maroon Five, White Stripes 2, Adele 1}

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