Assignment 6 solutions - CE93-Engineering Data Analysis...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
CE93-Engineering Data Analysis Mark Hansen, Fall 2009 Assignment 6 1. Bay Bridge repairs: Total days (T) days for repair A + days for repair B (T A +T B ) Probabilities g(G) = g(G ± ) ∗ ²(G ³ ) Total probability ∑g(G) 13 6+7 0.06 0.06 14 6+8 7+7 0.08 0.15 0.23 15 6+9 7+8 8+7 0.06 0.2 0.09 0.35 16 7+9 8+8 0.15 0.12 0.27 17 8+9 0.09 0.09 PMF of total duration T to finish both repairs 2. Storm runoff a) Find ´ and draw PDF. Find CDF. Integrate the PDF to find the CDF. If we set the CDF=1 over 0 ≤ µ ≤ 50 , we can find ´ . ¶(µ) = · ¸(µ)¹µ º» » = 1 = · ´ ∗ ¼µ − µ ½ 50 ¾¹µ º» » = ´ ∗ ¼ µ ½ 2 µ ¿ 150 ¾ + ÀÁ » º» = ´ ∗ ¼ 50 ½ 2 50 ¿ 150 ¾ + À 1 = ´ ∗ ¼ 50 ½ 2 50 ¿ 150 ¾ + À But we know À = 0 because ¸(0) must be zero. Therefore, ´ = 0.0024 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 13 14 15 16 17
Background image of page 1

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

View Full DocumentRight Arrow Icon
CE93-Engineering Data Analysis Mark Hansen, Fall 2009 x pdf cdf 0 0 0 1 0.002352 0.001184 2 0.004608 0.004672 3 0.006768 0.010368 4 0.008832 0.018176 5 0.0108 0.028 6 0.012672 0.039744 7 0.014448 0.053312 b) Find probability that runoff from the storm is less than 40 given that overflow occurs g(G ≤ 40u±²³´µ¶±· ±¸¸¹´º) = g(G ≤ 40uG ≥ 30) =
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 09/19/2011 for the course CE 93 taught by Professor Hansen during the Fall '10 term at University of California, Berkeley.

Page1 / 4

Assignment 6 solutions - CE93-Engineering Data Analysis...

This preview shows document pages 1 - 3. Sign up to view the full document.

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