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Write a Matlab program to:
1)Using the classical Monte-Carlo method, estimate the value of the following integral:
I = ∫01 x(1-x)3 dx
Also, estimate the variance, V (I), of this estimator. Plot both the estimates as functions
of n, the number of samples generated.
2)Using a normal random generator, you have written previously, estimate the fourth-moment ofX, where X is normal with mean 5 and variance 4.
E[(X-µ)4] =∫-∞∞(x-µ)4fX(x)dx
Plot this estimate as a function of the sample size.
Find the general solutions of the linear system using the method of elimination.
A constant force F= -3i + 8j +10k moves an object along a straight line from point (-6, -5, -4) to point (-3, 1, -6). Find the work done if the distance is measured in meters and the magnitude of the force is measured in Newtons.
write the English phrase as an algebraic expression. A number decreased by the sum of the number and eight.
Equation given: 4.5X + 7.7Y = 12 solve for X and Y
A test consists of 810 true or false questions. If the student guesses on each question, what is the standard deviation of the number of correct answers?
What is the average cost per unit to produe 100 units?
Calculate whether or not the given point is a solution to the system and write the system in non-matrix form
If the loan is to be amortized over 30 yr, what monthly payment will the Taylor's be required to make? (Round your answers to the nearest cent.)
you have the following data on 1 the average annual returns of the market for the past 5 years and 2 similar
Explain the five-steps for solving rational equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make it easier, or to make it easier to understand?
H = 4.8sin(pi/6)(t-10)+7.6, where domain of t is [0,24], and where t=0 corresponds to 12AM. When is the water level rising and falling? Find the relative extrema of H and interpret your results.
a sawmill runs for three 4-hour shifts per day. it produces 500 2x4s per hour which are divided into 50 piece bundles
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