The sum of a list of 100 real numbers is to be computed. suppose that numbers are rounded off to the nearest integer so that each number has an error that is uniformly distributed in the interval (-0.5, 0.5). use the central limit theorem to estimate the probability that the total error in the sum exceeds 4.

Step-by-step explanation:

Remember, a line has the form , where is the slope and is the y-intercept. In this cases, y represents the population when have been passed x years since 1995.

Since x represent the number of years since 1995, then in 1995, x=0 and the population is 2400. Then a point of the linear equation is (x,y)=(0,2400).

In 2000 has been passes 5 years since 1995 and the population is 4000, this means that x=5 and y=4000. Then other point in the line is (x,y)=(5,4000)

For find the equation of the line that describe the preview situation we use the points found.

Remember, if and are pointsin the plane, the slope of the line that passes through the points is

, and the line is of the form

Then, using the points (0,2400),(5,4000), we have that

and