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1. Repeatedly (104 times) simulate the standardised sum of independent and identically distributed variates X1, . . . ,Xn
and provide histogram plots, with the (suitably renormalised) standard normal density curve superimposed, for
(a) X1 ~ Exp(1) and n = 2, 6, 1000.
(b) X1 ~ Ber(3=4) and n = 5, 20, 100.
Supply your code.
an airplane flies 490miles with the wind and 330 against the wind in the same length of time. if the speed of the wind is 20, what is the speed of the airplane in still air?
Use the quadratic formula to find out how long the rocket will take to hit the ground after it is launched. Round to the nearest tenth of a second.
You are preparing for an upcoming sales meeting and need to create and compare various supply and demand graphs that show the break-even point for the company.
Write each number given in as a decimal numeral.
A company finds that its profits can be modelled with the formula P = 67.2x - 4.2x2, where P is the profit in millions of dollars and x is the production (in thousands of units). At what profit level is the model valid? Hint: Look at the discrimin..
finding the area enclosed by the first quadrant and the circle using integration.find the area in the first quadrant
Assuming k ≤ n, we want to distribute k balls among n bins such that each bin may at most one ball?
What is the cost of renting 2 tuxes. What is the cost of renting 2 tuxes, what is the cost of renting 4000 tuxes, what is the marginal and variable cost.
What type of distribution would the instructor most want to see if the best result is that most students earn an average score?
A test vehicle on a track goes through photo gates spaced 25 m apart at the following times: 2.00 sec, 3.30 sec, 4.30 sec. Plot the position versus time of the vehicle. Plot the average speed of the vehicle in the time intervals versus time.
what is the magnitude of the average acceleration of the ball during this time interval? (Note: 1 ms = 10-3 s.)
Determine the most profitable mixture of groups she should contact and the most money she can raise in a month.
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