This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 20) = 0 (d) P (  Y1  2 = 1) = P ( Y = 0, or, Y = 2) = P ( Y = 0) + P ( Y = 2) = P ( Y = 2) = 3 / 16 (e) P ( Y is an odd integer) = ∑ ∞ k =0 3 4 ( 1 4 ) 2 k = 4 / 5 6. (a) P ( Y = 0) = e3 (b) P ( Y ≤ 1) = P ( Y = 0) + P ( Y = 1) = e3 + e3 3 1 = 4 e3 (c) P ( Y = 0  Y ≤ 1) = P ( Y =0) P ( Y ≤ 1) = 1 / 4 1 7. (a) P (failure) = P ( S < . 55) = R . 55∞ f ( x ) dx = R . 5 4 x dx + R . 55 . 5 (44 x ) dx = 0 . 595. (b) Suppose F ( q . 5 = 0 . 5). For b ≤ . 5 we obtain F ( b ) = R b 4 x dx = 2 b 2 . Then 2 q 2 . 5 = 0 . 5 and q . 5 = 0 . 5. 2...
View
Full
Document
This note was uploaded on 03/29/2011 for the course ISYE 2027 taught by Professor X during the Spring '11 term at Central GA Tech.
 Spring '11
 x

Click to edit the document details