Problem on rolling a dice twice
A die is rolled twice. Let X denote the sum of the two numbers that turn up, and Y the difference of the numbers (specifically, the number on the first roll minus the number on the second). Show that E(XY)=E(X)E(Y). Are X and Y independent?
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Sodium nitrite (NaNO2) reacted with 2-iodooctane to give a mixture of two constitutionally isomeric compounds of molecular formula C8H17NO2 in a combined yield of 88%. Suggest reasonable structures for these two isomers.
A developer of a new subdivision wants to build homes that are all different. There are three different interior plans that can be combined with any of five different home exteriors. How many different homes can be built?
What total mass of hydrogen is contained in 4.2 g of solution that is 49 % hydrogen peroxide (H2O2) by mass (the balance being water)?
Foreign Affairs magazine conducted a survey to develop a profile of its subscribers (Foreign Affairs website, February 23, 2008). The following questions were asked.
Actual manufacturing overhead incurred during the month was $64,000. IncorrectActual costs are debits in the manufacturing overhead account.
What percentage of the employees will experience lost-time accidents in both years?
Sven Hendriksson finds that one of his productivity measures is related to the number of employees, e, and the production, n, by the equations: 10n + 3e = 45 and 2n + 5e = 31 What are the current values for e and n?
On May 1, 2014, Herron Corp. issued $386,400, 8%, 5-year bonds at face value. The bonds were dated May 1, 2014, and pay interest semiannually on May 1 and November 1.
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