The distribution of scores on the SAT is approximately normal with µ = 500 and σ = 100. a. What proportion of the population have SAT scores above 650?

b. What proportion of the population have SAT scores below 540?

c. What is the minimum SAT score needed to be in the highest 20% of the population?

d. What SAT score separates the top 60% from the rest of the distribution?​

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

f(x) is   are being squared

g(x) is   increasing by 2

h(x) is adding .25 each time

k(x) is taking the square root

f(x) and k(x) are exponential functions