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CEE_110_PS3_08_Solutions

# CEE_110_PS3_08_Solutions - UNIVERSITY OF CALIFORNIA LOS...

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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 [email protected] Problem Set 3 Solutions ___________________________________________________________________________ 1. 2. 3.

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(a) 2 2 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: X Y Plan 1: X and Y 8 8 x Y Plan 2: X x and Y 1 15 Then the errors in the calculated perimeter P = 2X 2Y are: 2 Plan 1: P Δ Δ Δ = Δ = Δ Δ Δ = = Δ Δ = + Δ Δ = ( ) ( ) 2 2 2 2 2 2 2 2 X 2 Y 2 0.08m 2 0.15m 0.120m 8 8 8 8 2 Y 2 0.15m Plan 2: P 2 X 2 0.08m 0.178m 15 15 Δ × × + = + = Δ × Δ = Δ + = × + = 4. x n x 2 98 n 100!
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CEE_110_PS3_08_Solutions - UNIVERSITY OF CALIFORNIA LOS...

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