Asurvey of teenagers found the music preferences listed. if you pick a teenager at random, what is p(rock)?
country : 12
jazz : 5
rock : 7
classical : 6
new age : 6
other : 4
a.33/40
b.1/7
c.7/40
d.1

        We can see from this survey that 7 teenagers prefer rock and roll.
        The number of all teenagers in the survey is:
        12 + 5 + 7 + 6 + 6 + 4 = 40
        P ( rock ) = 7 / 40
        C ) 7 / 40

B. overestimate.

Step-by-step explanation:

Let's find the answer, but you can check the attached file for clarity.

First, we need to understand that the given equation has a negative slope between x = 0 and x = 5, this means that for 2 different values of 'x', for example x=2 and x=3, the lowest value of 'x' (x=2) gives a higher f(x) value, which means f(x=2)>f(x=3).

Because we are using the left endpoint for the rectangles, using the same two points (x=2 and x=3), we can observe in the attached file that the left corner of the rectangle (x=2) will be on the curve (f(x)), whereas the right corner of the rectangle (x=3) will be above the curve (f(x)).

In conclusion, because you will be adding extra area per rectangle, the estimated area under the curve will be overestimated, so the answer is B. overestimate.