CEE_110_PS3_08_Solutions

CEE_110_PS3_08_Solutions - UNIVERSITY OF CALIFORNIA, LOS...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
UNIVERSITY OF CALIFORNIA, LOS ANGELES Civil and Environmental Engineering Department CEE 110 Introduction to Probability and Statistics for Engineers Spring Quarter 2008 M-W 2-4 PM 3400 Boelter Hall Prof. K. D. Stolzenbach 5732J Boelter Hall, 206-7624 stolzenb@ucla.edu Problem Set 3 Solutions ___________________________________________________________________________ 1. 2. 3.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
(a) 22 2 2 P 2X 2Y (2)(60.11m) (2)(95.21m) 300.64m P (2 X) (2 Y) (2 0.08m) (2 0.15m) 0.34m theperimeter is 300.64 0.34m rounded properly to 300.6 0.3m = + =+= Δ= Δ + Δ = × + × = ± ± (b) If all repeated measurments are averaged, the errors in the average values X and Y are: XY Plan 1: X and Y 88 xY Plan 2: X x and Y 11 5 Then the errors in the calculated perimeter P = 2X 2Y are: 2 Plan 1: P ΔΔ Δ= = Δ + Δ () 2 2 X 2 Y 2 0.08m 2 0.15m 0.120m 8 8 2 Y 2 0.15m Plan 2: P 2 X 2 0.08m 0.178m 15 15 Δ× × ⎛⎞ ⎛⎞⎛ += + = ⎜⎟ ⎜⎟⎜ ⎝⎠ ⎝⎠⎝ Δ + = × + = 4. xn x 2 9 8 n 100! P(x) p (1 p) (0.01 )(1 0.01) 0.185 x (98!)(2!) =− = = 5.
Background image of page 2
6. (a) P(at least 1) = 1 – P(0) = 1 - (1 – p) n = 1 - (1 – 0.1) 10 = 0.651 (b) P(first in year 10) = (1 – p) 9 p = (1 – 0.1) 9 (0.1) = 0.0387 (c) 28 2 8 10 10!
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 05/19/2011 for the course CEE 110 taught by Professor Stolzenbach during the Spring '08 term at UCLA.

Page1 / 4

CEE_110_PS3_08_Solutions - UNIVERSITY OF CALIFORNIA, LOS...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online