Problem #2: If two loads are applied to a cantilever beam as shown in the figure below, the bending moment at 0 due to theloads is a1X₁ + a₂X₂.Problem =2(a)Problem =2(b)X1Problem #2(c):aX₂9Suppose that X₁ and X2 are independent random variables with means 2 and 5 kips, respectively, and standarddeviations 0.7 and 1.5 kips. respectively. Suppose that a₁ = 3 ft and a2 = 10 ft.(a) Find the expected value of the bending moment.(b) Find the standard deviation of the bending moment.(c) If X₁ and X₂ are normally distributed, what is the probability that the bending moment will exceed 82 kip-ft?answer correct to 4 decimalsanswer correct to 4 decimals

X is a random variable. The mean of X is defined as EX=∑xPX=x and the variance of X is defined as…

Answered: Problem #2: If two loads are applied to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

4. Question 4: Y is a discrete random variable with PMF S1/3, y=1 p(y) = 2/3, y = 2 (a) Find the MGF for Y. (b) Develop the first two raw moments from MGF and find the variance V(Y). Answers:
Working problem 4.12: If the event is a number '5' tuming in rolling a die, simulate rolling a die for 1000 times with increments of 100 and explain how the law of large numbers will prevail. Working problem 4.13 : The data in the Table below was taken from the U.S. Census Bureau report titled "HINC-01. Selected Characteristics of Households, by Total Money Income in 2005" (http://www.census.gov/hhes www/cpstables/032010/hhinc/new01 001.htm) Income Under $20,000 $20,000 to < $40.00O $40,000 to < $60.00O S60,000 to < $80,000 $80,000 to < $100,000 Above $100,000 Households (thousands) 24,559 26,904 20.026 14,535 9,362 7,813 If a U.S. family is selected at random, Determine (a) The probability that the family selected has an annual income of less than $40,000 (b) The probability that the family selected has an annual income of $40,000 to less than $80,000 (c) The probability that the family selected has an annual income of more than $100,000 29
1. (a) Given a random variable X which is normally distributed with mean 15 and standard deviation 10, find: i. P(X12) iii. P(12
c,d,e
Do #2
Given the random variables X and Y in Problem 5.2.2, find (a) The marginal PMFS Px(x) and Py(y), (b) The expected values E[X] and E[Y], (c) The standard deviations ox and Oy.
,Example 17-11. (a) Show that if a most efficient estimator A and a less efficient estimator B with efficiency e tend to joint normality for large samples, B-A tends to zero correlation with A. (b) Show that the error in B may be regarded as composed (for large samples) of two parts which are independent, the error in A and the error in (B -A). (c) Show further that V(A – B) = ( - 1)V(A). e
Do ##3
Question 1
Consider two independent random variables X and Y. In two experiments, their probabilities are shown in Table 5.2. Table 5.2 (a) Values of X and P(x) Table 5.2 (b) Values of Y and P(y) X 0 1 Y 1 0 Px (x) 1/3 2/3 P₂(y) 1/3 2/3 Find (a) E[2X+3Y], (b) E[2X²−Y²]
(a) Recall that for a random variable X and constants a and b, E(aX+b) = aE(X) +b. Prove that Var(aX + b) = = a²Var(X). (b) Mike agrees to donate 50 dollars to charity, plus 25 dollars for every goal scored in a particular World Cup soccer game. Thus Mike's donation is a random variable Y = 25X + 50 where X is defined in problem 1. Find the expected value and the variance of Y.
4. The normal equations inverse matrix from a parametric adjustment is [0.15 -0.04 N |-0.04 0.26 The assumed a priori variance o = 10.0 and the a posteriori variance was calculated as ô = 100.0. Under the assumption that the scale of the a priori variance is actually unknown, what is the estimated covariance matrix of the parameters Ĉ;?

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS