Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 12 - Counting and Probability - Section 12.3 Probability - 12.3 Assess Your Understanding - Page 886: 68

Answer

$(a)\space0.45 \\ (b) \space 0.75 \\ (c) \space0.9$

Work Step by Step

Use the formula for a probability $P$ as: $\text{Probability}=\dfrac{\text{Number of favourable outcomes}}{\text{Number of all outcomes}}$ We can see that these events are mutually exclusive, so we will evaluate the results by simply adding the individual probabilities. (a) Probability for at most 2 people (which means $2$ or less): =$P(0)+P(1)+P(2)=0.10+0.15+0.20=0.45$ (b) Probability for at least 2 people (which means $2$ or more): =$P(2)+P(3)+P(\geq4)=0.20+0.24+0.31=0.75$ (c) Probability for at least 1 person (which means $1$ or more): =$P(1)+P(2)+P(3)+P(\geq4)=0.15+0.20+0.24+0.31=0.9$
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