Explanation Given Information: There is a 40% chance that automobile will be sold, 30% of all the automobiles sold are two-door models and the rest are four-door models. Formula used: The probability of intersection of two independent events A and B is simplified as, P ( A ∩ B ) = P ( A ) ⋅ P ( B ) Calculation: There is a 40% chance that automobile will be sold. Thus, the probability of sale is P ( Sale ) = 40 100 = 0.40 Since, the event of no sale of an automobile is the complementary of the event of sale of an automobile. Thus, the probability of no sale of an automobile is the difference of the probability of sale from the total probability, P ( No Sale ) = 1 − P ( Sale ) = 1 − 0.40 = 0.60 Since, 30% of all the automobiles sold are two-door models. Thus, the probability of two-door models is P ( 2-door model ) = 30 100 = 0.30 Also, 30% of all the automobiles sold are two-door models and the rest are four-door models. Thus, the probability of four-door models is the difference of the probability of two-door models from the total probability, P ( 4 -door model ) = 1 − P ( 2-door model ) = 1 − 0

Finite Mathematics and Applied Calculus (MindTap Course List)

7th Edition

ISBN: 9781337274203

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

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Chapter 8.5, Problem 63E

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To calculate: The probabilities of all outcomes for the sale of the automobiles and draw an appropriate tree diagram when there is 40% chance that automobile will be sold, 30% of all the automobiles sold are two-door models and the rest are four-door models.

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Chapter 8.5, Problem 62E

Chapter 8.5, Problem 64E

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Chapter 8 Solutions

Finite Mathematics and Applied Calculus (MindTap Course List)

Ch. 8.1 - In Exercises 118, describe the sample space S of...Ch. 8.1 - Prob. 2E Ch. 8.1 - In Exercises 118, describe the sample space S of...Ch. 8.1 - Prob. 4E Ch. 8.1 - In Exercises 118, describe the sample space S of...Ch. 8.1 - Prob. 6E Ch. 8.1 - In Exercises 118, describe the sample space S of...Ch. 8.1 - Prob. 8E Ch. 8.1 - In Exercises 118, describe the sample space S of...Ch. 8.1 - Prob. 10E

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The probabilities of all outcomes for the sale of the automobiles and draw an appropriate tree diagram when there is 40% chance that automobile will be sold, 30% of all the automobiles sold are two-door models and the rest are four-door models.

Solution Summary: The author calculates the probability of all outcomes for the sale of automobiles and draws an appropriate tree diagram when there is a 40% chance that automobile will be sold.

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To calculate: The probabilities of all outcomes for the sale of the automobiles and draw an appropriate tree diagram when there is 40% chance that automobile will be sold, 30% of all the automobiles sold are two-door models and the rest are four-door models.

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Chapter 8 Solutions