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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.
Let the sum from n=m to infinity of a_n be a series of real numbers converging to x, and let k be an integer. Then the sum from n=m+k to infinity of a_n-k also converges to x.
a semicircle and its equation is x2 y2 24y - 3x 17 0.ab is the diameter of the semicircle with equation y7x. find
Suppose you and three friends go to a local pizza parlor. On the menu is a "Make Your Own Pizza" with four ingredients to choose from; onions, sausage, mushrooms, and pepperoni. Your best friend is allergic to mushrooms. How many different varieti..
A car travels along a straight road, heading east for 1 h, then traveling for 30 min on another road that leads northeast. If the car has maintained a constant speed of 62 mi/h, how far is it from its starting position? Round your answer to 2 deci..
Prove the given Φ is either a trival homomorphism or 1- 1.
A textbook store sold a combined total of physics and biology textbooks in a week. The number of biology textbooks sold was less than the number of physics textbooks sold. How many textbooks of each type were sold?
The company receives an order for 580 notepads, together with a check for $328. If the order fails to specify the number of each type, how should the company fill the order?
A shipment of 120 computer cases that contains 5 defective cases was sent to an assembly plant. The quality control manager at the assembly plant randomly selects 5 cases and inspects them. What is the probability exactly one case is defective?
Describe (in words) two different sets of people containing you as a member. Describe (in words) the complement of each set. Describe what people are not in either the original set or the complement set.
Describe your analysis as per the statistical analysis section of a journal's methodology and perform your analysis and then write-up in the style of a journal's results section
Which of the following is true about the use of theory in counseling? a. Research supports the increased efficacy of certain theoretical approaches with specific mental health conditions. b. Some counseling interventions are proven to be more effecti..
A 140 ft tower is located on the side of a mountain that is inclined 32° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 55 ft downhill from the base of the tower. Find the shortest length of wire ne..
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