CEE 110 PS3 11 Solutions

# CEE 110 PS3 11 Solutions - UNIVERSITY OF CALIFORNIA, LOS...

This preview shows pages 1–2. Sign up to view the full content.

UNIVERSITY OF CALIFORNIA, LOS ANGELES Civil and Environmental Engineering Department CEE 110 Introduction to Probability and Statistics for Engineers Spring Quarter 2011 MW 12-2 PM Franz 1178 Prof. K. D. Stolzenbach 5732J Boelter Hall, 206-7624 stolzenb@ucla.edu Problem Set 3 Solutions ___________________________________________________________________________ 1. a) i) P(X 1)=P(X=1)= 4/7 ii) P(X>1)= 1-P(X=1)=1-4/7=3/7 iii) P(2<X<6)=P(X=3)= 1/7 iv) P(X 1 or X>1)= P(X=1)+ P(X=2)+P(X=3)=1 b) i) P( X < 1.5) = 4/7 ii) P( X 3) = 1 iii) P( X > 2) = 1 – P( X 2) = 1 – 6/7 = 1/7 iv) P(1 < X 2) = P( X 2) – P( X 1) = 6/7 – 4/7 = 2/7 c) μ = E ( X ) = 1 f (1) + 2 f (2) + 3 f (3) = 1(4/7) + 2(2/7) + 3(1/7) = 11 / 7 V ( X ) = 1 2 f (1) + 2 2 f (2) + 3 2 f (3) + 2 V ( C ) = 1(4 / 7) + 4(2 / 7) + 9(1 / 7) (11 / 7) 2 V ( C ) = 3- (121 / 49) = 0.5306 2. a) i) P ( X < 2) = 3 x 4 1 2 dx = ( 1 x 3 ) 1 2 = ( 1 8 ) ( 1) = 7 / 8 = 0.875 ii) P (

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 10/22/2011 for the course ENG 101 taught by Professor Yukov during the Spring '11 term at UCLA.

### Page1 / 5

CEE 110 PS3 11 Solutions - UNIVERSITY OF CALIFORNIA, LOS...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online