Astick of length`is broken at a uniformly chosen random location. we denote the length of the smaller piece byx.(a) find the cumulative distribution function ofx.(b) find the probability density function ofx.

Answer and explanation

Step-by-step explanation:

Step one, defining the parameters

Let Cumulative distribution function be given by F(x) = P(X ≤ x)

Let the probability density function be given by f(x) = d/dxF(x)

Let U be the original length of the stick so that U≈U(o,w)

Let X be the length if the smaller piece of the stick so that X ≈ min { U, w-u}

The calculation is given in the attachment as I cannot insert formulas in here. This explanation will help you understand the calculation.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

what’s the question?