Answer:
yo that's too hard it should be 20 points
You have the intercepts and x-coordinate of the vertex correct. There appears to be a math error in the calculation of the y-value of the vertex.
f(7/8) = (4*7/8 -7)*(7/8) -15 = -49/16 -15 = -289/16 = -18.0625
Count the numbers between 0 and 5: 84
Count total numbers: 150
Percent of elderly in table:
84 / 150 = 0.56 = 56%
Count the number of Boxes that have all three numbers higher than 5: 4
total number of boxes: 50
Probability it will take at least 4 patients: 4/50 = 0.08 = 8%
Count boxes with 2 numbers 5 or under: 17
Probability: 17/50 = 0.34 = 34%