Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321755936
ISBN 13: 978-0-32175-593-3

Chapter 5 - Continuous Random Variables - Exercises 5.1 - 5.19 - Applying the Concepts - Basic: 5.9c

Answer

0.375

Work Step by Step

$P(x \lt 1.75) = ∫_{-∞}^{1.75} f(x).dx$ = $∫_{-∞}^{1.75} \frac{1}{d-c}.dx$ = $∫_{-∞}^{1.75} \frac{1}{2}.dx$ = $∫_{-∞}^{1} \frac{1}{2}.dx + ∫_{1}^{1.75} \frac{1}{2}.dx$ $ = 0 + (1.75-1)/2 = 0.75/2 = 0.375
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