Let Ul , U2 , U3 , U4 , U5 be independent, each with uniform distribution on (0,1). Let R be the distance between the minimum and the maximum of the Ui's. Find
a) E(R);
b) the joint density of the minimum and maximum of the U;'s;
c) P(R> 0.5)
Please do b) and c) and explain in details.

The figure above shows the lengths of thesides of a rectangle in cm. find the valuesof x and y and then the area of the rectangle.sides: top= 3x - yleft= 3y + 4bottom= 2x + yright= 2x - 3 use both methods, elimination and substitution, if possible.

The function f(x) = 14,600(1.1)* represents the population of a town x years after it was established. what was the original population of the town?

Answer asap ill give ! ’ a sample of radioactive material decays over time. the number of grams, y , of the material remaining x days after the sample is discovered is given by the equation y = 10(0.5)^x. what does the number 10 represents in the equation? a. the half-life of the radioactive material, in days b. the amount of the sample, in grams, that decays each day c. the time, in days, it will take for the samples to decay completely d. the size of the sample, in grams, at the time the material was discovered