Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 5 - Discrete Probability Distributions - 5-3 Binomial Probability Distributions - Basic Skills and Concepts: 34

Answer

0.18526, not unlikely.

Work Step by Step

$P(X=6)={24\choose 6} \cdot (0.25)^6\cdot (0.75)^{18}=0.18526.$ This probability is not low, more than 0.05, therefore it is not unlikely that exactly 6 students plan to choose a career in IT.
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