Suppose the interval [4,6] is partitioned into n=4 subintervals. what is the subinterval length δx? list the grid points x0, x1, x2, x3, x4. which points are used for theleft, right, and midpoint riemann sums?

If a generic interval is partitioned into subintervals, each one has a length:

In this case, , and , so:

The grid points are given by:

Since and , we have:

The subintervals are of the form :

For the left Riemann sums we will use the left-handed points, namely:

For the right Riemann sums we will use the right-handed points, namely:

For the midpoint Riemann sums we will use the average between the two extrema of each subinterval, given by

This gives the midpoints:

The points used for the midpoint Riemann sums are therefore:

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

step-by-step explanation:

most likely the answer is a.

alice wins if a total of 5 is rolled. finn wins if a total of 9 is rolled.