Determine the expected value and variance of X for the high-amplitude waves acting on a sea pier. The pmf is given below: 1 2 3 27 Px(x) 0.38 0.22 0.18 0.13 0.08 0.05 0.02 0.01

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Determine the expected value and variance of X for the high-amplitude waves acting on a sea pier. The
pmf is given below:
1
2
3
4
5
0.05
27
Px(x)
0.38
0.22
0.18
0.13
0.08
0.02
0.01
Problem 4.
Use data given in Problem 1, 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 X
of high-amplitude waves acting on the sea front. It is estimated that Y = 10000(10 - X).
Determine the pmf of Y and the mean and variance of Y.
Transcribed Image Text:Determine the expected value and variance of X for the high-amplitude waves acting on a sea pier. The pmf is given below: 1 2 3 4 5 0.05 27 Px(x) 0.38 0.22 0.18 0.13 0.08 0.02 0.01 Problem 4. Use data given in Problem 1, 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 X of high-amplitude waves acting on the sea front. It is estimated that Y = 10000(10 - X). Determine the pmf of Y and the mean and variance of Y.
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