Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 5 - Discrete Probability Distributions - 5-3 The Binomial Distribution - Extending the Concepts - Page 285: 34

Answer

See graph and explanations below.

Work Step by Step

Given $n=4,p=0.3$, using the binomial formula, we can calculate the following $P(0)=_4C_0 0.3^0(1-0.3)^4=0.2401$ $P(1)=_4C_1 0.3^1(1-0.3)^3=0.4116$ $P(2)=_4C_2 0.3^2(1-0.3)^2=0.2646$ $P(3)=_4C_3 0.3^3(1-0.3)^1=0.0756$ $P(4)=_4C_4 0.3^4(1-0.3)^0=0.0081$ Using the above data, a binomial distribution graph can be constructed and shown in the figure.
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