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The useful life X of a particular kind of machine is a random variable with density function f(x)={(3/(x^2))+(1/6) if 3≤x≤6 and 0 if otherwise} where x is the number of years a randomly selected machine stays in use.
(a) Find the probability that a randomly selected machine will be useful for more than 4 years. _________
(b) Find the probability that a randomly selected machine will be useful for less than 5 years. __________
(c) What is the expected useful life of the machine? 4.3294 (CORRECT)
Write the equation of the given line in standard form.
If the school cafeteria serves meat loaf, there is a 70% chance that they will serve peas. If they do not serve meat loaf, there is a 30% chance that they will serve peas anyway.
Problem 1: Consider the following linear programming problem:
Show that x = 0 is a regular singular point. Find two linearly independent solutions about this point using the Frobenius Method. Find the first four non-zero terms of two linearly independent solutions y1 (x) and y2 (x) .
Find an equation of the tangent to the curve at the given point by both eliminating the parameter and without eliminating the parameter.
Using the regression module of Excel's Add-in Data Analysis, perform 3 simple regressions by regressing overhead costs against each of the proposed independent variables. Show the output for each regression and evaluate each of the regression results..
Write one or two paragraphs comparing and contrasting all methods of solving systems of linear equations with two variables. Explain which method you prefer and why.
keisha read twice as many books this year as ben read. subtracting 4 from the number of books keisha read and dividing
A prune juice contanier is a rectangular prism that measure 12 inches by 3.5 inches by 4 inches. Describe the relationship between the two containers answer using l*w*h.
Bob Bryan made deposit of $10,000 at the end of each quarter to Lion Bank, which pay 89% interest compounded quarterly. What will be the amount's balance 4 years after the last deposit?
The form of augmented matrices.
an open-top box is to be made by cutting small congruent squares from corners of a 30 x 30 sheet and bending it up to the sides. how large should the squares cut from the corners to make the box hold as much as possible?
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