A fifth grade teacher believes that 12% of her students are late for class. If the teacher is right, what is the probability that the proportion of late students in a sample of 538 students would differ from the population proportion by less than 3%? Round your answer to four decimal places.

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph

the answer to this is 4340

hope this if needed hmu