Applied Statistics and Probability for Engineers, 6th Edition

Published by Wiley
ISBN 10: 1118539710
ISBN 13: 978-1-11853-971-2

Chapter 5 - Section 5-1 - Two or More Random Variables - Exercises - Page 170: 5-1

Answer

a ) $3/8$ b ) $5/8$ c ) $3/8$ d ) $1/8$ e ) $1.8125$

Work Step by Step

a ) $3/8$ : $p (x<2.5, y <3)$ = $1/4 +1/8$ = $3/8$ b ) $5/8$ : $p (x<2.5)$ = $1/4 +1/8 + 1/4$ = $5/8$ c ) $3/8$ : $p (y<3)$ = $3/8$ d ) $1/8$ : $p(x>1.8, y > 4.7)$ = $1/8$ e ) $1.8125$ : $[1/4 + 1.5/8 + 1.5/4 + 2.5/4 +3/8]$ = $ 1.8125$
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