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 - Learning the Mechanics: 5.6c

Answer

2

Work Step by Step

$P(x \leq a) = 0$ $P(x \leq a) = ∫_{-∞}^{a} f(x).dx$ = $∫_{-∞}^{a} \frac{1}{d-c}.dx$ = $∫_{-∞}^{a} \frac{1}{2}.dx$ = $∫_{-∞}^{2} \frac{1}{2}.dx + ∫_{2}^{a} \frac{1}{2}.dx$ = 1/2 (0) + 1/2 (a-2)= (a-2)/2 Since $P(x \leq a) = 0$ (a-2)/2 = 0 a-2 = 0 a = 2
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