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Problem.1: Sea waves. The pmf of the observed number of days per month of high-amplitude waves acting on a sea pier is given below. X = 0 1 2 3 px(x) = 0.38 0.22 0.18 0.13 0.09 0.06 0.03 0.01 4 5 6 27 Determine the expected value and variance of X.

Problem.1: Sea waves. The pmf of the observed number of days per month of high-amplitude waves acting on a sea pier is given below. X = 0 1 2 3 px(x) = 0.38 0.22 0.18 0.13 0.09 0.06 0.03 0.01 4 5 6 27 Determine the expected value and variance of X.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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6 lll B/s 197 11:03 * 65 Untitled docu... Problem.1: Sea waves. The pmf of the observed number of days per month of high-amplitude waves acting on a sea pier is given below. X = 2 3 4 5 6 27 px(x) = 0.38 0.22 0.18 0.13 0.09 0.06 0.03 0.01 Determine the expected value and variance of X. Problem. 2: Sea pier construction. With reference to the data given in Problem1, a contractor is assigned to work on an extension to the sea pier. The contractor finds that the profits Y of the job are directly decreased by the number of days per month Xof high- amplitude waves acting on the sea front. It is estimated that Y = 10,000(10 – X). Determine the pmf of Y and the mean and variance of Y. Problem. 3: Contract analysis. A contractor's financial outlay X and labor force Y are random variables with bivariate pdf given by: fx,y(x, y) = kxry, for 10.000 <r< 100.000 and 10 <y < 20, and = 0, elsewhere. (a) Evaluate constant k. (b) Determine the marginal pdf of X and Y.
Transcribed Image Text:6 lll B/s 197 11:03 * 65 Untitled docu... Problem.1: Sea waves. The pmf of the observed number of days per month of high-amplitude waves acting on a sea pier is given below. X = 2 3 4 5 6 27 px(x) = 0.38 0.22 0.18 0.13 0.09 0.06 0.03 0.01 Determine the expected value and variance of X. Problem. 2: Sea pier construction. With reference to the data given in Problem1, a contractor is assigned to work on an extension to the sea pier. The contractor finds that the profits Y of the job are directly decreased by the number of days per month Xof high- amplitude waves acting on the sea front. It is estimated that Y = 10,000(10 – X). Determine the pmf of Y and the mean and variance of Y. Problem. 3: Contract analysis. A contractor's financial outlay X and labor force Y are random variables with bivariate pdf given by: fx,y(x, y) = kxry, for 10.000 <r< 100.000 and 10 <y < 20, and = 0, elsewhere. (a) Evaluate constant k. (b) Determine the marginal pdf of X and Y.
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