Question

let be a function which is continuous for all . let and be the riemann sums using subintervals with left, right and middle sample points, respectively, for on the interval . which of the following statements is false?

Answer 1

The false statement is that the curve in a theoretical distribution of sums is skewed to the right.

Step-by-step explanation:

The false statement about the theoretical distribution of sums is d. The curve is skewed to the right.

In a theoretical distribution of sums, the mean, median, and mode are equal, which aligns with statement a. The area under the curve is always one, which aligns with statement b. The curve never touches the x-axis, which aligns with statement c.

However, the curve of a theoretical distribution of sums can be skewed either to the left or the right, meaning it is not necessary for it to be skewed to the right. Therefore, statement d is false.